What is an equation of a circle whose center is (1, 4) and diameter is 10?

Equation of a circle with center (h, k) = (x-h) ^2 + (y-k) ^2 = r^2

Center (h, k) = (1,4)

Radius = diameter/2

Since diameter = 10; radius = 10/2 = 5

Equation of the circle = (x-1) ^2 + (y-4) ^2 = 5^2

:. (x-1) ^2 + (y-4) ^2 = 25.

The should be the answer because if you break it down, you still have to use "completing the square" to put it back again.

Or this could also be the answer: x (x-2) + y (y-8) = 8

This is when I broke it down completely and factorized.