Question

Identify the center and radius of the circle. Then write the equation of the circle.

Answer 1

Radius = 2

Explanation:

x² + y² - 10x + 8y + 37 = 0

Regroup terms

(x² - 10x) + (y² + 8y) = -37

Complete the square

(x² - 10x + 5²) + (y² + 8y + 4²) = -37 + 5² + 4²

(x² - 5)² + (y² + 4)² = 2²

Center (5,-4)