Question

What is the center of the circle for this equation:
(x + 3)² + (y - 2)² = 25

Answer 1

The formula for the equation of a circle is (x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

So we need to find the values of (h, k) in order to find the center of the circle.

If we simply line up the equation of our given circle with our formula,

we can see that -h = 3 or h = -3 and -k = -2 so k = 2.

So now we have our answer.

center ⇒ (-3, 2)