Question

Consider the circle such that points A(-3,1) and B(-3,-5) are on the circle and the radius is 7 units. The center of the circle is somewhere in quadrant IV.
A) What are the exact coordinates of the center?

Answer 1

Begin with the standard form of a circle:
\[(x - h)^2 + (y-k)^2 = r^2\]

Input both points separately, creating a system of two equations:
\[(-3-h)^2 + (1 - k)^2 = 7^2\]
\[(-3 - h)^2 + (-5 - k)^2 = 7^2\]

Answer 2

Solve for (h,k)