Question

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

Answer 1

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