# The vertices of ABC are A(-8, 0), B(0, 0), and C(0, -4). If a circle is circumscribed around ABC, where would the center of the circle be located?

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### geometry

The vertices of ABC are A(-8, 0), B(0, 0), and C(0, -4). If a circle is circumscribed around ABC, where would the center of the circle be located?

### geometry

The vertices of ABC are A(-8, 0), B(0, 0), and C(0, -4). If a circle is circumscribed around ABC, where would the center of the circle be located?

### MATH HELP!!

Consider the three points A(2,3,1) B(1,-2,3) C(7,4,6) a) Show that ABC is a right triangle. b) Calculate the area of this triangle. c) Find the coordinates of the center of the circle circumscribed about triangle ABC

### Circumcenter of Triangle in circle

Equilateral triangle ABC and a circle with center O are constructed such that BC is a chord of the circle and point A is the circumcenter of BCO in its interior. If the area of circle with center O is 48pi, then what is the area of triangle ABC? How to do this? I don't ...

### math

ABC is a sector of a circle with radius R and center C. The arc DE lies on a circle also centred at C. If DE divides ABC into two regions of equal area, find the length of CD in terms of R

### geomery

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC? 2. And: Given any triangle ABC, with sides a, b, and c opposite angles A, B, and C, respectively, what can be said about the three ratios a/...

### geometry

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC? 2. And: Given any triangle ABC, with sides a, b, and c opposite angles A, B, and C, respectively, what can be said about the three ratios a/...

### Trignometry pls help

1. The radius of the circumscribed circle of the triangle ABC is 15 cm. Given that B is a 49-degree angle, find the length of side AC. 2. The radius of the circumscribed circle of the triangle ABC is r cm. Given that B is a â-degree angle, find the length of side AC, in terms...

### geometry

1. The radius of the circumscribed circle of the triangle ABC is 15 cm. Given that B is a 49-degree angle, find the length of side AC. continuation - The radius of the circumscribed circle of the triangle ABC is r cm. Given that B is a beta-degree angle, find the length of ...

### geometry

An arc ABC is one quarter of a circle with center B and radius 6. Rectangle EDFB is inscribed in ABC. If ED + DF = 8, find the perimeter ADCFE. Round your answer to the nearest hundredth.

### mathematics

an isosceles triangle ABC has its vertices on a circle.if /AB/=13CM,/BC/=13cm and /AC/=10CM,calculate the radius of the circle,to nearest whole cm

### geometry

Open that link please please help me with my assignments 1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 respectively. find the area of triangle aef 2. equialateral triangle abc has an area of square root of 3 and side of length 2. point...

### Math

The radius of the circumscribed circle of the triangle abc is 15cm. given that B is a 49-degree angle; find the length of the side AC

### geometry

we are a team of students studying for a test - asking again - thanks - An arc ABC is one quarter of a circle with center B and radius 6. Rectangle EDFB is inscribed in ABC. If ED + DF = 8, find the perimeter ADCFE. Round your answer to the nearest hundredth.

### adult ed geometry

Adult education due to the level -thanks - An arc ABC is one quarter of a circle with center B and radius 6. Rectangle EDFB is inscribed in ABC. If ED + DF = 8, find the perimeter ADCFE. Round your answer to the nearest hundredth.

### math

BC is a chord of a circle with center O and area 48pi. Point A is inside BCO such that ABC is equilateral and A is the circumcenter of BCO. What is the area of triangle ABC

### math

A circle is inscribed in triangle ABC with sides a, b, c. Tangents to the circle parallel to the sides of the triangle are constructed. Each of these tangents cuts off a triangle from ∆ABC. In each of these triangles, a circle is inscribed. Find the sum of the areas of ...

### GEOMETRY URGENT PLEASE

(imageshack)(.)us(/)photo (/) my-images (/)42(/)2vja. jpg(/) Open that link please , just delete the parentheses please please help me with my assignments I beg you cooperate with me huhu 1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 ...

### math

ABC is a sector of a circle with radius R cm and centered at C. The arc DE lies on a circle also centered at C.If the arc DE divides the sector ABC into two regions of equal area. Find the length of the interval CD in terms of R.

### geometry PLEASE

imageshack(.)(us)/photo/my-images/42/2vja.jpg/ Open that link please , just delete the parentheses please please help me with my assignments I beg you cooperate with me huhu 1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 respectively. ...

### maths

ABC is the segment of a circle with center O. This segment is enclosed in a rectangle APQC. Given that AC = 32 cm and AP = 8 cm, calculate; (a) The radius of the circle. (b) The angle AOC in both degrees and radians. (c) The area of the shaded region.

### Math

Let A, C be the endpoints of the diameter of a circle and B an arbitrary point on the circle. Using the slopes of secant lines show that \ABC is a right angle. You can assume the circle is centered at the origin.

### physics

If a mass attached to the center of a vertical circle swings around at a fixed speed (v) and gravity pulls straight downward, would the tensions in the rope attached to the mass be different at the top of the circle, straight down to bottom of circle, and directly straight out...

### GEOMETRY

Here are the figures. file:///C:/Users/ALIZAJOY/Pictures/Untitled.png Open that link please please help me with my assignments 1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 respectively. find the area of triangle aef 2. equialateral ...

### Maths

ABC is the segment of a circle with center O. This segment is enclosed in a rectangle APQC. Given that AC=32cm and AP = 8 cm, calculate; (a) The radius of the circle. (b) The angle of AOC in both degrees and radians (c) The area of the shaded region.

### math

The center of a circle is located at (–5, 2) and a point on the circle is located at (5, -22). Which other points are also on the circle? (-29, -8) (-31, 5) (5, 26) (19, 12) (19, -6) So the answers i got that work is 1.(-31,5) 2.(-29,-8) 3.(19,12) That is what i got and i ...

### physics

If a mass attached to the center of a vertical circle swings around at a fixed speed (v) and gravity pulls straight downward, would the tensions in the rope attached to the mass be different at the top of the circle, straight down to bottom of circle, and directly straight out...

### Math

Triangle ABC is circumscribed about circle O and D,E, and F are points of tangency. If AD= 5, EB= 5 and CF= 10, find the lengths of the sides of the triangle and show that the triangle is isosceles

### geometry

(imageshack)123 (.)us(/)photo 123 (/) my-images 123 (/)42(/) 123 2vja. jpg(/)123 Open that link please , just delete the parentheses and spaces and 123's please please help me with my assignments I beg you cooperate with me huhu 1. in the figure , the areas of traingle cef, ...

### Math

120 people are given a survey about which television shows they watch. ABC=55 NBC=30 CBS=40 ABC and CBS=10 ABC and NBC=12 NBC and CBS and ABC=5 It wants you to solve for the remaining regions of the circle (mainly what NBC+CBS equal). I know you have to make a venn diagram but...

### physics

The large blade of a helicopter is rotating in a horizontal circle. The length of the blade is 6.07 m, measured from its tip to the center of the circle. Find the ratio of the centripetal acceleration at the end of the blade to that which exists at a point located 2.56 m from ...

### Physics

The large blade of a helicopter is rotating in a horizontal circle. The length of the blade is 6.7m, measured from its tip to the center of the circle. Find the ratio of the centripetal acceleration at the end of the blade to that which exists at a point located 3.0m from the ...

### physics

The large blade of a helicopter is rotating in a horizontal circle. The length of the blade is 6.60 m, measured from its tip to the center of the circle. Find the ratio of the centripetal acceleration at the end of the blade to that which exists at a point located 2.34 m from ...

### physics

The large blade of a helicopter is rotating in a horizontal circle. The length of the blade is 7.0 m, measured from its tip to the center of the circle. Find the ratio of the centripetal acceleration at the end of the blade to that which exists at a point located 3.3 m from ...

### Math

I have a question my brother asked me but I need a math expert. You have two interlocking circles and the radius of circle B goes through the center of circle A and of course the radius of circle A goes through the center of circle B. The radius of each circle is 30 feet. Now...

### Physics Circular Motion

The large blade of a helicopter is rotating in a horizontal circle. The length of the blade is 7.0 m, measured from its tip to the center of the circle. Find the ratio of the centripetal acceleration at the end of the blade to that which exists at a point located 2.7 m from ...

### geometry

The medial triangle of a triangle ABC is the triangle whose vertices are located at the midpoints of the sides AB, AC, and BC of triangle ABC. From an arbitrary point O that is not a vertex of triangle ABC, you may take it as a given fact that the location of the centroid of ...

### Precalculus

Points A, B, and C are on a circle such that angle ABC=45 degrees, AB=6, and AC=8. Find the area of the circle.

### maths

ABC is an isosceles triangle inscribed in a circle. If AB and AC is 2.5cm and BC is 14cm find the radius of the circle

### math

ABC is an isosceles triangle inscribed in a circle. If AB and AC equal to 2.5cm and BC is 14cm find the radius of the circle

### Math

This question makes reference to an orthonormal basis (i,j), and an origin O. 1. Consider the triangle ABC, with vertices A(0,-2), B(9,1), C(-1,11). Find: a) a cartesian equation of the altitude from C; b) a cartesian equation of the circle which has BC as a diameter; c) a ...

### maths

Equilateral triangle ABC has a circumcircle Γ with center O and circumradius 10. Another circle Γ1 is drawn inside Γ such that it is tangential to radii OC and OB and circle Γ. The radius of Γ1 can be expressed in the form ab√−c, where a,b ...

### math

Equilateral triangle ABC has a circumcircle Γ with center O and circumradius 10. Another circle Γ1 is drawn inside Γ such that it is tangential to radii OC and OB and circle Γ. The radius of Γ1 can be expressed in the form ab√−c, where a,b ...

### maths-Circles

O is the centre of a circle which has two chords BA and BC with point B on the circumference of the circle.If OB bisects angle ABC,prove that AB=AC

### math

ABC is a triangle inscribed in a circle centre O..angle ACB =40¡ã and line And =xcm.calculate the radius of the circle.

### Maths

Equilateral triangle ABC is inscribed in circle O, whose radius is 4. Altitude BD is extended until it intersects the circle at E. What is the length of DE? a) √3 b) 2√3 c) 2 d) 4√3

### Geometry-Reiny

Thank you! A, B, C and D are all on the circle. If the circle was a clock, point A would be around 11:00, B is around 9, C is around 6 and D is around 4 ... P is in the middle. A straight line runs vertical to the circle touching the circle at point B. E is the point at the ...

### geometry

if home plate is 60.5 feet from the pitcher's mound, find the distance from the pitcher's mound of a major league baseball field to the center of a circumscribed circle that touches home plate, 1st base and second base. Find the exact, simplified length of the radius of that ...

### Geometry

Within an orthonormal system consider points A(1,4) B(5,1) C(4,8) (a)Calculate the angle ABC (b)Show that 3x+4y-19=0 is an equation for line L which passes through A and B (c)Find a vector equation for line L (d)(i)give an equation for the circle with the line segment AB as ...

### maths

Let ABC be a triangle in the plane. Find circles C0;C1; : : : ;C6 such that Cj has exactly j points in common with the boundary of ABC (this \boundary" consists of the line segments AB, BC, CA). Is it possible to find a circle C7 with 7 points in common with the boundary of ABC?

### maths

Let ABC be a triangle in the plane. Find circles C0;C1; : : : ;C6 such that Cj has exactly j points in common with the boundary of ABC (this \boundary" consists of the line segments AB, BC, CA). Is it possible to nd a circle C7 with 7 points in common with the boundary of ABC...

### algebra

The vertices's of triangle ABC are A(-1,2), b(0,3), and c(3,1). Determine the vertices A', B', and C' of the image of triangle ABC after a reflection across the x-axis.

### Math

ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the steps you took to find the orthocenter, including any necessary points or slopes you had to derive.

### Geometry PLEASE HELP ME

ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the steps you took to find the orthocenter, including any necessary points or slopes you had to derive.

### College Geometry

In this assignment, you examine a process that links polygons and circles. You will reach some quantitative conclusions about their respective areas and the relationship between the two. As you know, a regular polygon has sides of equal length and angles that are the same. ...

### Geometry

Write the General form equations for the following circles: 1. A circle with center (1, -6) and radius 4 2. A circle with center (6, 8) and radius 10 3. A circle with center (0, 3) and radius 2√3 4. A circle with center (-0.5, 5.5 ) and radius 8.4 5. A circle with center (a...

### math

three right angles have vertices at the center of the circle .if the radius of the circle is 8,what is the combined area of the shaded region?

### Physics

The large blade of a helicopter is rotating in a horizontal circle. The length of the blade is 5.2 m, measured from its tip to the center of the circle. Find the ratio of the centripetal acceleration a1 at the end of the blade to the centripetal acceleration a2 which exists at...

### circle geometry triangles

how do u construct a circle that is circumscribed of a triangle? how do u constuct a circle that is inscribed in a triangle? i am a bit confused and I have finals next week!

### geometry

Theres a circle with an equilateral triangle in the middle. The traingles edges all touch the circle. The radius of the circle is 8 meters. How do I find the area of the triangle? Sorry The triangles edges don't touch the circle, the points do. Did you mean the vertices of the...

### geometry

Given the equation of the circle (x – 9)2 + y2 = 484 , where is the center of the circle located at?

### mathematics

The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of the points of the ...

### geometry

ABC is an isosceles triangle inscribed within a circle of radius 4,such that side BC passes through the center.What is the length of the arc segment AC?

### geometry

An Equilateral triangle (ABC) is inscribed inside a circle. The side lengths of the triangle are 8 cm. What is the radius of the circle?

### math ,geometry

a circle is touching the sides BC of /_\ ABC at P.AB and AC when produced are touching the circle at Q and R respectively, Prove that AQ=1/2 (AB+BC+CA)

### math ,geometry

a circle is touching the sides BC of /_\ ABC at P.AB and AC when produced are touching the circle at Q and R respectively, Prove that AQ=1/2 (AB+BC+CA)

### geometry

If segment AB is a diameter, AB =10, and measure angle ABC =45, how far is segment BC from the center of circle O?

### maths

Triangle ABC has area [ABC]=468. D,E and F are the midpoints of BC,CA and AB, respectively. Points P,Q and R are defined such that P is the incenter of AEF, Q is the incenter of BFD, and R is the incenter of CDE. What is [DREPFQ]? Details and assumptions [PQRS] denotes the ...

### physics

An object, after being released from its circular path, travels the distance OA in the same time it would have moved from O to P on the circle. The speed of the object on and off the circle remains constant at the same value. Suppose that the radius of the circle in Figure 5.4...

### Math

ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Find the orthocenter of ABC?

### sir steve reiny damon bob maths help steve!!!

Point P(2,1) and Q(4,-5) lie on a circle. If line 2x-y-13=0 is a tangent to the circle at Q, what is (*) Coordinates of the center of the circle; (*) Equation of the circle. (*) Sketch out your circle. Step

### Geometry

The coordinates of the vertices of ABC are A(-2,2) B (5, -3) and C (-4,-1) Identify the perimeter of ABC. Round each length to the nearest tenth before adding. I am totally lost!

### Equations of a Circle

Write the standard for of the equation of the circle that passes through the points at (0,8),(8,0),and (16,8). Then identify the center and radius of the circle. I have r=8, center=(8,8). What now?

### Math

The graph of x2 −6x+9+y2 +2y+1 = 25 is a circle. Where would the center of the circle be? What is the radius of the circle?

### Ms. Sue Please help!!!

Ahhh... thank you "A square and an equilateral triangle have the same perimeter. Let A be the area of the circle circumscribed about the square and B be the area of the circle circumscribed about the triangle. Find A/B." It's a tough one.

### Math

Circle O is centered at the origin and has a radius of 5. Circle O' is the image of circle O after a translation of T1,2. What is the center of circle O'? What is the radius of circle O'?

### math

Ellen placed a string from one point on a circle, through the center, and to a point on the other side of the circle.Approximately how many times can this length of string fit around the outside of the circle?

### Geometry

How would you solve these? The radius of a circle is 34 meters long, and a chord of the circle is 60 meters long. How far is the chord from the center of the circle? The diameter of a circle is 60 inches and a chord of the circle is 48 inches long. How far is the chord from ...

### mathematics

The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of the points of the ...

### mathematics

The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of the points of the ...

### mathematics

The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of the points of the ...

### math

if you have the triangle ABC with the points A(47,100) B(-1273,203) and C(971,-732) how would you find the center and the radius of the incircle of triangle ABC?

### Geometry

A scientist is plotting the circular path of a particle on a coordinate plane for a lab experiment. The scientist knows the path is a perfect circle and that the particle starts at ordered pair (-5, -11). When the particle is halfway around the circle, the particle is at ...

### Geometry

ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of \angle ABC (in degrees)?

### maths

ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of \angle ABC (in degrees)?

### maths

ABC is an acute triangle with ∠BCA=35∘. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of ∠ABC(in degrees)?

### math

if you have the triangle ABC with the points A(47,100) B(-1273,203) and C(971,-732) how would you find the center point and the radius of the incircle of triangle ABC?

### geomery

Triangle ABC, inscribed in a circle, has AB = 15 and BC = 25. A tangent to the circle is drawn at B, and a line through A parallel to this tangent intersects line BC at D. Find DC.

### heeeeeeelp geometry

In a triangle ABC, BK is an angle bisector. A circle with radius 5/3 passes through the vertex B, intersects AB at a point L, and is tangent to AC at K. It is known that the length of AC is 3√3, and the ratio of the lengths |AK| to |BL| is 6:5. The area of the triangle ...

### GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION

segment BC is tangent to circle A at B and to circle D at C. (Not drawn to scale) AB=10 BC=25 and DC=3. Find AD to the nearest tenth. Hint: Draw an auxiliary line from D to segment BA. {There are two circles, the larger one has point A in the center and a dotted line going up ...

### NEED MAJOR HELP! *QUADRATIC EQUATIONS*

Write the equation for the circle with center at (- 8, - 6) and radius of 10. (x+8)² + (y + 6)² = 10 (x+8)² + (y + 6)² = 100 (x-8)² + (y - 6)² = 100 Find the standard equation for the circle with center on the positive x-axis and passing through the origin with radius of...

### math

-a circle with center at the point O(0,0) also has the point P(-2,3) on it. The equation of this circle is? and a second question: -A circle has a center of square root 5. The equation of this circle is? Please help me.

### geometry

Given the equation of the circle (x – 9)2 + y2 = 484, the center of the circle is located at __________, and its radius has a length of __________ units.

### solid mensuration

Determine the area of the segment of a circle if the length of the chord is 15 inches & located 5 inches from the center of the circle.

### Math

A(-11,8)B(2,-6) and C(-19,-8) are the vertices of Triangle ABC. N(X,Y) is a point on AC such the BN is Perpendicular to AC. Find Area of Triangle ABC. PLEASE HELP!!!

### math

point A(-1,-2) B(7,2) C(k,4) K is a constant. The vertices of ABC. Angle ABC is a right angle. Ive worked out the gradient of AB to be 1/2. How do you calculate the value of k?? thanks for the help

### math

) An object is moving on a straight line which is 15 centimeters away from the center of a circle of radius 28 centimeters. (Both the circle and the straight line are on the same plane.) A source of light is located on the line drawn from the center of the circle perpendicular...

### Math

The points (4, –5) and (– 4, 1) are endpoints of a diameter of a circle. (a) Find the center of the circle. (b) Find the length of the radius of the circle. (Note that this is a distance.) Give the exact answer. Show work. (c) State the equation of the circle (in standard ...

### geometry

I asked my teacher for a hint and he said that the pitcher's mound is not the radius. Am I supposed to assume that a side of a baseball diamond is 90? But that information wasn't given..... Still confused. If home plate is 60.5 feet from the pitcher's mound, find the distance ...