Question

Write the equation of a circle with a center at (0, 8) and a radius of 9.

Answer 1

`x^2 + (y-8)^2= 81`

Explanation:

the equation of a circle with a center at (0, 8) and a radius of 9.

To frame the equation of the circle we use center radius form of equation

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

Where (h,k) is the center and 'r' is the radius

Given center is (0,8) and radius = 9

h = 0 , k= 8 and r= 9

Plug in all the values

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

`(x-0)^2 + (y-8)^2= 9^2`

`x^2 + (y-8)^2= 81`