Describe the circle given by the equation (x - 7) ^2 + (y - 8) ^2 = 9.

The circle (x - 7) ² + (y - 8) ² = 9 is a circle with center (7,8) and radius is 3

Step-by-step explanation:

Equation of circle with (h, k) as center and radius r is given by,

(x-h) ² + (y-k) ² = r²

Here we need to describe the circle given by the equation (x - 7) ² + (y - 8) ² = 9

Changing equation to (x-h) ² + (y-k) ² = r² form

(x - 7) ² + (y - 8) ² = 9

(x - 7) ² + (y - 8) ² = 3²

So, h = 7, k = 8 and r = 3

Center is (7,8) and radius is 3

The circle (x - 7) ² + (y - 8) ² = 9 is a circle with center (7,8) and radius is 3