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
