Question

What is the equation of a circle with center (0, 5) and radius 8

Answer 1

( x) ^2 + ( y-5) ^2 = 64

Explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius

( x-0) ^2 + ( y-5) ^2 = 8^2

( x) ^2 + ( y-5) ^2 = 64

Answer 2

See below.

Explanation:

Recall that the equation for a circle is:

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

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

We know the center is (0,5) and the radius is 8. Plug in the numbers:

`(x-(0))^2+(y-(5))^2=(8)^2`

We can remove the parentheses on the left. Therefore, the equation will be:

`x^2+(y-5)^2=64`