Question

Write the equation of the circle with its center at (-7, 8) and a radius of 9.

Answer 1

(x + 7)² + (y - 8)² = 81

Explanation:

The equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

We can plug in the values given, since we are given the center coordinates and radius value:

(x - h)² + (y - k)² = r²

Plug in the center coordinates:

(x + 7)² + (y - 8)² = r²

Plug in the radius:

(x + 7)² + (y - 8)² = 9²

(x + 7)² + (y - 8)² = 81

The equation will be (x + 7)² + (y - 8)² = 81

Answer 2

(x + 7)^2 + (y - 8)^2 = 81.

Explanation:

According to the diagram below, the equation of a circle is (x - h)^2 + (y - k)^2 = r^2.

In this case, h = -7, k = 8, and r = 9.

(x - -7)^2 + (y - 8)^2 = 9^2

(x + 7)^2 + (y - 8)^2 = 81.

Hope this helps!