Question

The center of a circle is located at (3,8) and the circle has a radius that is 5 units long. What is the general form of the equation for the circle?

Answer 1

(x-3)² + (y-8)² = 25

Answer 2

(x -3)² + (y -8)² =25

Explanation:

Standard equation of a circle with the given center (h, k) and radius r is represented by

(x - h)² + (y - k)² = r²

we have to find the standard equation of the circle with center (3, 8) and radius 5 units.

So the equation of the circle will be (x - 3)² + (y - 8)² = 5²

(x - 3)² + (y - 8)² = 25 is the answer.