Question

Write the equation of the circle centered at (0,1) with radius 15.

Answer 1

`x^2+(y-1)^2=225`

Explanation:

we know that

The equation of the circle in center radius form is equal to

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

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

`(h,k)=(0,1)\\r=15\ units`

substitute

`(x-0)^2+(y-1)^2=15^2`

`x^2+(y-1)^2=225`