Asked by Ember Lovet
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. If your answer is not an integer, express it in radical form.
c. Write an equation for the circle.
Can someone explain how to do this?
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.
Can someone explain how to do this?
Answers
Answered by
Steve
the center of the circle is the midpoint of the diameter: (-3,2)
The length of the diameter is √(14^2+8^2) = √260 = 2√65
so, the radius is √65
That means the equation is
(x+3)^2 + (y-2)^2 = 65
The length of the diameter is √(14^2+8^2) = √260 = 2√65
so, the radius is √65
That means the equation is
(x+3)^2 + (y-2)^2 = 65
There are no AI answers yet. The ability to request AI answers is coming soon!