# 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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1. ## 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?
2. ## 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?
3. ## 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
4. ## 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
5. ## 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
6. ## 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
7. ## 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
8. ## 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
9. ## 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,
10. ## 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
11. ## 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.
12. ## 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
13. ## 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
14. ## 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
15. ## 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

(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

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,

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.
19. ## 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
20. ## 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
21. ## 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
22. ## 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
23. ## 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.
24. ## 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.
25. ## 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.
26. ## 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.
27. ## 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
28. ## 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
29. ## 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
30. ## 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
31. ## 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
32. ## 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
33. ## 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
34. ## 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
35. ## 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
36. ## 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
37. ## 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
38. ## 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.
39. ## 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
40. ## 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
41. ## 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
42. ## 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
43. ## 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
44. ## 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
45. ## 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
46. ## 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.
47. ## 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
48. ## 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
49. ## 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?
50. ## 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
51. ## 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.

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.
53. ## 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?
54. ## 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
55. ## 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
56. ## 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
57. ## 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!
58. ## 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.
59. ## geometry

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

Find the center of the circle that can be circumscribed about EFG with E(4, 4), F(4, 2), and G(8, 2
61. ## 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?
62. ## 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?
63. ## 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
64. ## Math

ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Find the orthocenter of ABC?
65. ## 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
66. ## 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)
67. ## 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)
68. ## 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!
69. ## math

A segment with endpoints C(-3, 3)and D(7, 3) is the diameter of a circle. a. What is the center of the circle? b. What is the length of the radius? c. What is the circumference of the circle? d. What is the equation of the circle?

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.
71. ## 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
72. ## 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
73. ## 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?
74. ## Geometry

I have a circle with a Tangent line, DE, running along it and connecting with another line, FC, which runs through the center of the circle to the other side.I have connected the center of the circle with point E on the edge of the circle with a radius. I
75. ## Geometry

I have a circle with a Tangent line, DE, running along it and connecting with another line, FC, which runs through the center of the circle to the other side.I have connected the center of the circle with point E on the edge of the circle with a radius. I
76. ## 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
77. ## 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
78. ## 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
79. ## Math

A court is 94ft long by 50ft wide.It contains 3 circles, each with a diameter of 12 ft. Two of the circles are located at the free throw line with "half of each circle shaded" and the third circle is at the center. Within the third shaded circle is another
80. ## 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'?
81. ## 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)?
82. ## 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)?
83. ## 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)?
84. ## 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
85. ## 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.
86. ## Math

In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side
87. ## trig question

On a unit circle, sin x = square root 3 over 2, with center O. Vertical line from top to center of circle is PO. Horizontal line from middle to right of circle is OE. Another vertical line of AB is parallel to PO. And radius of circle (line from O to A) is
88. ## 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. And the negative reciprocals is -2. How do you calculate the value of k?? thanks for the help
89. ## 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. And the negative reciprocals is 2. How do you calculate the value of k?? thanks for the help
90. ## 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
91. ## 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.
92. ## 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.
93. ## Math

Check my answers please? There are only 10 The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X: The figure shows a circle with
94. ## 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
95. ## Math

Right ∆ABC has vertices at A(−5, 0), B(0, 0) and C(0,12). What is the volume of the solid figure formed when ∆ABC is rotated about side BC? Express your answer in terms of ð.
96. ## Circle geometry

Please help Explain how I figure this out. A circle has diameter 70cm. A chord in the circle is 50cm long. How far is the chord from the center of the circle? I have been stuck on this for days. I appreciate any help. Thank you!!
97. ## 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!!!
98. ## Geometry midpoint formula

A circle on the Coordinate plane has a diameter with endpoints at (6,8) and (15,8). What are the coordinates of the center of the circle? What is the radius of the circle? Identify the coordinates of another point on the circle. Explain how you found your
99. ## Geometry

2 circles with centers O and O' are drawn to intersect each other at points A and B. Center O of one circle lies on the circumference of the other circle. CD is drawn tangent to the circle with center O' at A. Prove that OA bisects angle BAC.
100. ## Math

Hi guys, In the question "It is given that P (0, 3), Q(7, 5), R(9, -2) and S are vertices of a square. A circle A passes through the points P, Q, R and S. Find the equation of this circle. Hence or otherwise find the equation of circle B which is the image