The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the the center. So we plug in our given information.
(x - 4)² + (y - 5)² = radius². To find the radius, we do the distance formula from the center of the circle to the point on the circle itself.
Distance formula is:
Distance = √((Y2 - Y1)² + (X2 - X1)²). Again, plug in given information.
√((8 - 5)² + (0 - 4)²)
√((3)² + (- 4)²)
√(9 + 16)
√25 = 5
Your radius is 5.
So now we complete the equation:
(x - 4)² + (y - 5)² = 5²
Your final answer:
(x - 4)² + (y - 5)² = 25
