# math-equation of circle

157,544 results

### 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 ...

### 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

The equation 2x^2+2y^2+x+4y+2c=0 represents a circle.(let's name it S1) 1)Find the values of a,b and and show that c<(17/16) 2)For positive integers of c,if the above circle is divided into two by, (x+p)^2=p^2 circle,find the value of the constant p. 1)I know that the ...

### math

can u help this the qustion is : A circle passes through the points (1,4)&(5,0) and its centre lies on the line x+y-3=0.Find (i) the equation of the circle and it parametric equations . (ii) the centre,diameter and area of the circle . (iii) the equation of the tangent at (1,4...

### maths

1) Circle centre (7,-2) passes through (-2,10). Calculate radius and find equation of circle. 2) AB is diameter of circle A(9,5) B(-1,-7). Find equation of circle mid point. I know i have to use the eqn (x1+x2)/2 and (y1+y2)/2 3) Find the equation of circle with centre (-8,5...

### steev

can u help this the qustion is : A circle passes through the points (1,4)&(5,0) and its centre lies on the line x+y-3=0.Find (i) the equation of the circle and it parametric equations . (ii) the centre,diameter and area of the circle . (iii) the equation of the tangent at (1,4...

### 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 of A under the ...

### 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.

### math

Write an equation of a circle with the center (-5,-4) and radius 6. The general equation for a circle is (x-a)^2 + (y-b)^2 = r^2, where r is the radius of the circle and (a,b) are the (x,y) coordinates of the center. Make the appropriate substitutions and you will have the ...

### 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 (Pre Cal)

Hi, I am studying for a precalculus quiz and I do not understand this hw problem: "The tangent line to a circle may be defined as the point that intersects a circle in a single point... If the equation of the circle is x^2+y^2=r^2 and the equation of the tangent line is y=mx+b...

### 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

### calc

a circle is tangent to the y-axis at y=3 and has one x-intercept at x=1 1. determine the other x-intercept 2. find an equation for the circle so i know two points on the circle are (0,3) and (1,0) and the equation for a circle is (x-a)^2 + (y-b)^2 = r^2 but i don't know how to...

### Math

I need to write the standard equation for the circle that passes through the points: (-5,0) (0,4) (2,4) I have to use the general equation for a circle: x^2+y^2+dx+ey+f=0

### Math (Equation of a circle)

Find an equation of the circle with its center at (3,2) that is tangent to the positive x-axis.

### 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 ...

### math

a circle is tangent to the y-axis at y=3 and has one x-intercept at x=1 a) what's the other x-intercept b) what's the equation i have no clue how to solve this! You know that the center of the circle is somewhere in the line y = 3, denote the x-coordinate by rx. Then the ...

### math

Let the equation of a circle be x^2+y^2-14x+8y+56 a. Find the standard form of the circle b. Find the center of the circle c. Find the radius of the circle

### Alg2

The tangent to a circle may be defined as the line that intersects the circle in a single point, called the point of tangency. If the equation of the circle is x^2 + y^2 = r^2 and the equation of the tangent line is y = mx + b, show r^2(1 + m^2) = b^2 Hint: The quadratic ...

### Math

Answer check please: Consider the circle (x-3)^2 + (y+1)^2 = 169. The point (15,4) is on the circle. Find an equation for the line that is tangent to the circle at this point. I got y= 5/12x-9/4.

### 8th grade math

circle A has a raduis that is twice the length og the raduis of circle B. Which is an accurate statement about the relationship of these areas of circle A and B and y? a.the area of circle A is 4 times the area of circle B b. the area of circle A is twice the area of circle B...

### Math (urgent)

the equation x^2+y^=25 describes a circle with center at the origin and radius 5. The line y=x-1 passes through the circle. Using the substitution method, find the points at which the circle and line intersect. a) (4,3) and (-4,-3) b) (3,4) and (-3,-4) c) (4,-3) and (-3,4) d) ...

### Math - Equation of the circle

Find an equation of the circle whose endpoints of a diameter are (−3,6) and (5,−14). I tried to figure it out, but I'm not sure if my answer is correct. I got.. (x-2)^2 + (y + 4)^2 = 116 Any help would be great. Thank you!

### 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 ...

### geometry

The equation of a circle is(x-3)squared plus (y+2)squared.The point (8,-2)is on the circle.What is the equation of the line that is tangent to the circle at (8,-2)? y=8 x=8 x=3 y=3

### Geometry

Write the equation of circle O centered at origin that passes through (9,-2) Circle B with center (0,-2) that passes through (-6,0) >For circle B, is the radius 6 in this case? So equation would be x^2+(x+2)^2=36, correct? If this is the case, how would I solve for circle O?

### equation for circle

find the equation of a circle. the endpoints of the diameter of a circle are (3,-2) and (7,-6).

### Algebra 2

Consider a circle centered at (2,4). What are the coordinates of the center of the translated circle if we replace x with x-3 and y with y+5 in the equation of the circle?

### 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 ...

### Algebra

1.How do I find the center of a circle using the points (2,8) (-4,6) (1,-1) ? 2. The Radius of the circle? 3. Equation of circle THANKS!

### geometry

2. For the circle with equation (x – 2)2 + (y + 3)2 = 9, answer each question: a) What are the coordinates of the center? none b) What are the radius and diameter of the circle? 360 c) Graph the circle.

### Maths

In our math class, we didn't really go through alot on The circle so I still have some problem about the question assigned to me : Two circle C1 and C2 have equations x^2 + y^2 +4x - 3 = 0 and 2x^2 + 2y^2 +4x -6y + 3 =0 respectively. Show that, for all values of λ, the ...

### geometry

Circle O is defined by the equation x2 + (y - 2)2 = 25. Plot the center of Circle O and type in the coordinates of one point with integral values that lies on Circle O.

### math

a. the line y=7x cuts the circle x^2+y^2=50 at A and B. find the coordinates of A and B. b. show that C(5;5) lies on the circle. c. show that ACB angle C=90degrees. what can you deduce about AB? d.find the equation of the tangent to the circle at C

### College Algebra

using the knowledge of systems of equations, and that the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius. Find the equation of a circle that contains the following points: (6,2), (4,6), and (-3,5). (These 3 points each create an ...

### College Algebra

using the knowledge of systems of equations, and that the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius. Find the equation of a circle that contains the following points: (6,2), (4,6), and (-3,5). (These 3 points each create an ...

### Math

The point (-4.3) lies on a circle whose center is at (2,1). Find an equation of this circle.

### Math

Determine whether the given equation is a circle, a point, or a contradiction (no real graph). x^2 + y^2 - 2 x - 16 y + 52 = 0 . The equation is a . (Enter "circle", "point", or "contradiction" in the answer space without quotes.)

### maths

Given an equation of circle(x-2)2+(y-3)2=25,find the equation of the image circle after a reflection about the line y=x+3

### math

circle has a center at (-8,-4) and circumference of 32.determine equation of the circle

### Math

If the coordinates of the center of a circle are (-3,1) and the radius is 4, what is an equation of the circle

### Trigonometry

1) Find the coordinates of the point (-1,3) after the transformation T (to the -3,2 power) 2) What are the coordinates of point (-3,4) under D (to the 3rd power)? 3) Which of the following transformations could map the point (1,2) onto the point (3,6)? a)T (to the 2,3 power) b...

### Math

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.

### Math

write the equation of the circle in standard form. find the center, radius, intercepts, and graph the circle. x^2+y^2-6x-8y+25=36

### Algebra

Find the equation for the circle with center (1,2) and passing through (-4,-3). Write the equation for the circle.

### Algebra II

In this set of eight problems, we have to match each equation with the correct description of its graph. However, these are test corrections I'm doing and I do not have the previous multiple choice answers so I can deduct from it, but can someone help me? The equation is xy = ...

### Math

Find the equation for the following circle: The circle that passes through the origin and has intercepts equal to 1 and 2 on the x- and y-axes, respectively.

### Math

find the equation of the circle whose centre lies on the line 5x-2y=9 and the circle touches both the positive axes

### Math

The endpoints of a diameter of a circle are (3, 4) and (7, –2). What is an equation of the circle?

### Pre-Calc

Can someone please be kind and show me the steps on this? Thanks Find the equation of the circle centered at the origin in the uv-plane that has twice the circumference of the circle whose equation equals (u-5)^2 + y^2 =9

### Math

The point P = (4, 3) lies on the circle x2 + y2 = 25. Find an equation for the line that is tangent to the circle at P. This line meets the x-axis at a point Q. Find an equation for the other line through Q that is tangent to the circle, and identify its point of tangency

### Math

The point P = (4, 3) lies on the circle x2 + y2 = 25. Find an equation for the line that is tangent to the circle at P. This line meets the x-axis at a point Q. Find an equation for the other line through Q that is tangent to the circle, and identify its point of tangency

### math

1. two circles. x^2+y^2-16x-8y+35=0 and x^2+y^2=5 are given. a. write the equations in the standard form. b.prove that the circles touch each other. c.hence calculate the equation of their common tangent 2. find the equation of a. circle. with centre c(2;3) and which I is the ...

### Math

A circle has a radius that increases at a rate of 10cm/s. Find the equation of the outermost circle 6 seconds after it starts to expand. Using x2 +y2=r2

### Math

A circle has a radius that increases at a rate of 10cm/s. Find the equation of the outermost circle 6 seconds after it starts to expand. Using x2 +y2=r2

### math

A circle has an area of 25 pi cm^2.If a circle is drawn within that circle with a diameter equal to the radius of the first circle, what is the area of the second circle? a. 2 1/2 pi cm^2 b. 4 1/4 pi cm^2 c. 5 1/4 pi cm^2 d. 6 1/4 pi cm^2 e. 7 1/2 pi cm^2 please answer and ...

### math

HELP!! the area A of the circle in the figure can be represented by A(r)=pi,r^2 where r is the radius what are the resonable domain and range for each function? explain the problme before this made me make a equation of B(r)=5^2-pi,r^2 im not sure if there asking this or A(r)=...

### math (pre clac)

so its this picture of a rectangle inscribed in a circle. the circle has a radius of 2. the vertexes of the circle are present in every quadrant, but you cant tell exactly whgat point they represent. point Q (x,y) is the vertex of the rectangle in Quadrant I and is on the ...

### math

A. determine the equation of the circle passing through points A(3;2) B(8;12) and C(-6;-2) B. a chord of the circle x^2+y^2=50 has a midpoint at (6;3). determine the equation of this chord.

### calculus

There is a shape first a regular triangle inscribed in a circle, and inscribed in a square, inscribed in a circle, inscribed in a pentagon, etc. so polygon circle polygon circle, etc. the radius of the first circle is 1, find an equation for radius n. number 2:give an argument...

### 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?

### GEOMETRY

The diameter of a circle has endpoints P(–10, –2) and Q(4, 6). a.Find the center of the circle. b.Find the radius. If your answer is not an integer, express it in radical form. c.Write an equation for the circle.

### geomtry

A diameter of a circle has endpoints P(-10,2) and Q(4,6) a. find the center of the circle. b. find the radius of your answer is not an interger express in radical form c. write an equation for the circle

### maths

Given that the equation of the circle is x^2 + y^2 +2x -8y+5 =0 (i)Find the centre and radius of the circle (ii)Determine whether the line x-3y=8 is tangent to the given circle

### maths

Given that the equation of the circle is x^2+y^2+2x-8y+5=0 (i)find the centre and radius of the circle (ii)Determine whether the line x-3y=8 is tangent to the given circle

### maths-urgently needed

find the equation of circle if the line 2x - y +1 = 0 touches the circle at the point (2,5) and the center of the circle lies on the line x+y -9 =0

### Gradient of circle?

A circle has the equation x^2+y^2-4x+6y-12=0 and i have already found that the centre has a coordinate of (2,-3), and a radius of 5 units. But i need to find points on the circle that has the gradient of -4/3 when a tangent is drawn on the point. How do i do that???

### 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'?

### Geometry

The equation of a circle is (x−4)^2+ (y+2)^2=16. B) Find the radius of the circle with the given equation. Can somone give me step by step explanations? Thank you in advance!

### summer math hw

one circle has a diameter of 10 inches. a second circle has a diameter that is twice the diameter of the first circle What is the ratio of the area of the smaller circle to the larger circle

### geometry

This one is confusing me. please help The diameter of a circle has endpoints P(–10, –2) and Q(4, 6).Find the center of the circle.Find the radius. If your answer is not an integer, express it in radical form. Write an equation for the circle. Thanks

### Math

how an I tell if this is a circle or an ellipse? also, how am I supposed to solve it? -x^2+2y^2+8x+3=0 I answered a similar question for Jordan last night at 11:20 divide your equation by -1 to make it start with a positive x^2 term. At this point you should realize that it is...

### Math (geometry)

Line l is tangent to circle O at point P(3,4) where the center is located at (0,0). a. Find the radius of the circle. (I got 4) b. Give an equation of the circle. (I got x^2+y^2=16) c. Find the slope of line l. d. Give an equation of line l...

### math

A circle is tangent to the y-axis at y=3 and has one intercept at x=1. a) Determine the other x-intercept. b) Find the equation of the circle. Thanks for helping!

### algebra

1)Write an equation for the parabola with focus (1,3)and vertex(0,3) answer= x= 1/4(y-3)^2 2)Write an equation for a circle if the endpoints of a diameter are at (1,1)and(1,-9) answer= (x-1)^2+(y+4)^2=25 3)Which is the equation of a circle with center (0,1)and radius 2 units? ...

### Math

I have a series of questions that I did. They lead up to the last question I can't solve. Could you check my math and help me with the last question? Thanks! a) Let a be the point (2,3). Compute the distance from Origin 0 to A answer: a^2 + b^2 = c^2 3^2 + 2^2 = c^2 c=sqrt(13...

### Math

A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1, find the other x-intercept and the equation of the circle. ...And if it's not any trouble, could you please explain how to do get there alongside showing me what to do? Thanks (:

### math

The circle touches x-axis at (3,0) and intercepts y-axis with 8 units.Find the equation of circle.

### Check!!!

okay so the question is: A unit circle center at the origin undergoes a series of transformations. The equation of the resulting graph is (x-3)^2+ (y+4)^2= 25 describe the transformation the unit circle underwnt Answer: The original circle was centered at the origin and had ...

### math

1. A(-3;4) is a point on a circle with centre at the origin. a.determine the coordinates of B, if AB is a diameter. b. Show that point C(0;5) lies on this circle. c.show that ACB has a magnitude of 90degrees. 2.a.ddetermine the equation of the circle with AC as diameter, if A ...

### Pre-Calc (Circles)

Describe the conditions necessary, where circle A has a larger radius than circle B, for the two circle to have no points of intersection, while circle B is entirely in the interior of circle A.

### math - geometry

Austin wants to sketch the graph of a circle represented by the given equation. (x - 4)2 + (y + 7)2 = 64 Using complete sentences, describe the steps used to sketch the circle on a coordinate grid

### math-equation of circle

Write the standard form of the equation of the circle that passes through the points at (4,5) (-2, 3), and (-4,-3). a. (x-5)^2+(y+4)^2=49 b. (x-3)^2+(y+2)^2=50 c. (x+4)^2+(y-2)^2=36 d. (x-2)^2+(y+2)^2=25 I'm having trouble with solving for the variables...after I make the ...

### math

The circumference of a circle varies directly from its diameter. If the circumference of the circle having a diameter of 7cm is 7 cm, what is the circumferences of the circle whose diameter is 10cm? 18cm? 20cm? a. Write a mathematical statement that relate two quantities ...

### math

The equation of a circle with centre O(0,0) is x^2+y^2=40. The points A(-2,6) and B(-6,-2) are endpoints of chord AB. DE right bisects chord AB at F. a)Verify that the centre of the circle lies on the right bisector of chord AB. b)Find the distance from the centre of the ...

### Math

The circumference of a circle varies directly from its diameter. If the circumference of the circle having a diameter of 7cm is 7 cm, what is the circumferences of the circle whose diameter is 10cm? 18cm? 20cm? a. Write a mathematical statement that relate two quantities ...

### Math

These questions that I have completed are on a test review for my exam and I would just like to know if they are correct. These are only a few of the questions, I have more that are just not complete yet. Thank You! 1) List the intercepts for the graph of the following ...

### math

Two chords in a circle are equal in lengh.The distances from the centre of the circle can be represented by x2 and 4x respectively.How far is it chord from the centre of the circle?[Under the topic of properties of a circle.]

### Math(Please check answers)

These questions that I have completed are on a test review for my exam and I would just like to know if they are correct. These are only a few of the questions, I have more that are just not complete yet. Thank You! 1) List the intercepts for the graph of the following ...

### math

Rewrite the following equation in the center-radius form of the equation of a circle. x2 - 2x + y2 + 2y - 2 = 0

### math

A circle has centre(5,12) and its tangent to the line with equation 2x-y+3=0. Wtite equation of the cirle

### math

A circle has centre(5,12) and its tangent to the line with equation 2x-y+3=0. Wtite equation of the cirle

### math

A circle with the equation (x + 4)2 + (y - 3)2 = 9 is reflected over the line y = -1. What is the equation of the image?

### Geometry

The equation of a circle is x^2 + 6x + y^2 - 2y = 15. What are the center and radius of the circle? Please show work.

### Algebra

The point (-1,0) lies on a circle whose center is at (-6,5). Find an equation of this circle

### maths

the equation of the circle is x^2+y^2+2x-8y-1=0. Find the coordinates of the point where the circle crosses the x-axis

### geometry

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