Question

What is the equation of a circle with center -4, 7 and radius 6

Answer 1

`( x + 4 )^2 + ( y - 7 )^2 = 36`

Explanation:

Use the circle equation,
`( x - h )^2 + ( y - k )^2 = r^2`

Plug in the center and radius:

`( x + 4 )^2 + ( y - 7 )^2 = 6^2`

Simplify:

`( x + 4 )^2 + ( y - 7 )^2 = 36`

So, the equation is
`( x + 4 )^2 + ( y - 7 )^2 = 36`