The circle can be illustrated by its equation, and the equation that represents the circle is (x + 4)² + (y - 9)² = 5²
<h3>How to determine the circle equation?</h3>
The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Hence, the equation that represents the circle is (x + 4)² + (y - 9)² = 5²
Read more about circle equations at:
brainly.com/question/1559324
