geometry

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

1. 👍 0
2. 👎 0
3. 👁 55
1. Surely you can see that the center of the circle is the midpoint of any diameter.

the midpoint R = (P+Q)/2 = (-3,2)

the radius is half the diameter

d^2 = 14^2 + 8^2 = 196+64 = 260
r^2 = 65

(x+3)^2 + (y-2)^2 = 65

1. 👍 0
2. 👎 0
posted by Steve

Similar Questions

1. 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?

asked by Joshua on March 21, 2018
2. Calculus

Points (–1, 6) and (–3, 2) are endpoints of the diameter of a circle. (a) What is the exact length of the diameter? (Simplify as much as possible) Answer: ________ (b) What is the center of the circle? Answer: ____________ (c)

asked by Brian on March 10, 2012
3. 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.

asked by Kole on October 2, 2012
4. 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.

asked by Marianna on January 28, 2015
5. math

Line AB is the diameter of circle C. If the endpoints of the diameter are A(3, -4) and B(-2, 5), what are the coordinates of the center of the circle C? I've forgotten how to do this, heh heh... help please?

asked by arya on April 20, 2009
6. algebra

The diameter of a circle with endpoints A(-1,5) and A(4,-3) Use the midpoint formula to find the coordinates of the center of circle P(xy).

asked by Bonnie on January 13, 2019
7. Geometry

The endpoints of the diameter of a circle are at (1, 2) and (7, -6). What is the circumference of the circle, to the nearest tenth of a unit? 15.7 31.4 62.8 78.5 Please help?

asked by SkatingDJ on September 23, 2015
8. geometry

The endpoints of the diameter of a circle are at (1,2) and (7,-6). What is the circumference of the circle, to the nearest tenth of a unit.

asked by katy on September 15, 2015
9. Geometry

the endpoints of the diameter of a circle are at (1,2) and (7, -6). what is the circumference of the circle, no the nearest tenth of a unit? 15.7 31.4 62.8 78.5 I was thinking B? i want to check.

asked by Roi on September 16, 2015
10. geometry

Name the diameter, radius, center, and the equation of the circle with a diameter that has endpoints at (-3, 4) and (5, -2).

asked by Anonymous on February 7, 2013

More Similar Questions