Question

Graph the circle. List the center and the radius length. (x + 2) 2 + (y − 3) 2 = 36 Center: ________________ Radius: __________________

Answer 1

Center → (-2, 3)

Radius of the circle → 6

Explanation:

Equation of the given circle is,

(x + 2)² + (y - 3)² = 36

(x + 2)² + (y - 3)² = 6²

By comparing this equation with the standard equation of the circle,

(x - h)² + (y - k)² = r²

Where (h, k) is the center and 'r' is the radius of the circle.

Center of the circle → (-2, 3)

Radius of the circle → 6 units

Extreme ends of the diameter → (-2, -3) and (-2, 9)