Question

Write the equation of a circle that has a center at the origin and a radius with a length of 5 inches.

Answer 1

`x^(2)+y^(2)=25`

Explanation:

we know that

The equation of a circle in standard form is equal to

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

where

(h,k) is the center

r is the radius

In this problem we have

(h,k)=(0,0)

r=5 in

substitute

`(x-0)^(2)+(y-0)^(2)=5^(2)`

`x^(2)+y^(2)=25`