Question

What is the equation of the circle whose center and radius are given.

center ( 7, -3), radius = 7

Answer 1

Use the equation of a circle: (x – h)² + (y – k)² = r².

Plug in the numbers; center is (h, k) and radius is r.

(x - 7)² + (y - -3) = 7²
Simplify to:
(x - 7)² + (y + 3) = 49

Answer 2

Hello!

The equation for a circle is


`(x - h)^(2) + ( y - k)^(2) = r^(2)`

(h,k) is the center
r is the radius

Put in the values you know


`(x - 7)^(2) + ( y + 3)^(2) = 7^(2)`

Simplify


`(x - 7)^(2) + ( y + 3)^(2) = 49`

The equation is
`(x - 7)^(2) + ( y + 3)^(2) = 49`

Hope this helps!