# 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?

1. 👍
2. 👎
3. 👁
1. center at the origin means

x^2 + y^2 = r^2
9^2 + (-2)^2 = 81+4 = 85, so the circle is

x^2 + y^2 = 85

center at (0,-2) means
x^2 + (y+2)^2 = r^2
(-6)^2 + (0+2)^2 = 36+4 = 40

x^2 + (y+2)^2 = 40

1. 👍
2. 👎

## Similar Questions

1. ### 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.

2. ### maths

A circle passes throughthe origin and the point (5/2,1/2) and has 2y-3x=0 as a diameter. Find its equation.

3. ### Geometry

Write the equation of each circle. Center at (-1,8) passes through (9,3)

4. ### Precalculus

Let C be a circle that passes through the origin. Show that we can find real numbers s and t such that C is the graph of r = 2s*cos(theta + t) I think that I could start by writing it like R^2=(x-h)^2+(y-k)^2 where R is the radius

1. ### Algebra

Suppose a circle is centered at the vertex (0,0) and has a radius of length 4. For which points on the circle is the x-coordinate equal to 1? Your first answer should have a positive y-value. For which points on the circle is the

2. ### 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

3. ### Geometry

Points $A$ and $B$ are on a circle centered at $O$, and point $P$ is outside the circle such that $\overline{PA}$ and $\overline{PB}$ are tangent to the circle. If $\angle OPA = 32^{\circ}$, then what is the measure of minor arc

4. ### Calculus

A particle is moving around the unit circle (the circle of radius 1 centered at the origin). At the point (.6 , .8), the particle has horizontal velocity dx/dt=3. What is its vertical velocity dy/dt at that point? I don't know

1. ### geometry

Two circles of equal radius intersect each other such that each circle passes through the center of the other circle. Find the equation for the perimeter of this figure.

2. ### Maths

4y-3x=25 is the tangent to the circle x^2+y^2=25 at the point P(-3,4). The equation of the radius of the circle that passes through P is... Working out is appreciated. Thanks a lot

3. ### math

a triangle with side lengths 26, 28, and 30 is constructed so that the longest and shortest sides are tangent to a circle. the third side passes throught the center of the circle. compute the radius of the circle

4. ### 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)