Question

Find the center and the radius of the circle with the equation x^2+6x+y^2+4y+10=1

Answer 1

The center is (-3, -2) and the radius is 2.

Explanation:

x² + 6x + y² + 4y + 10 = 1

x² + 6x + y² + 4y = -9

Complete the squares.

x² + 6x + 9 + y² + 4y + 4 = -9 + 9 + 4

(x + 3)² + (y + 2)² = 4

(x + 3)² + (y + 2)² = 2²

The center is (-3, -2) and the radius is 2.

Answer 2

The center is (-3, -2) and the radius is 2.

Explanation:

x² + 6x + y² + 4y + 10 = 1

x² + 6x + y² + 4y = -9

Complete the squares.

x² + 6x + 9 + y² + 4y + 4 = -9 + 9 + 4

(x + 3)² + (y + 2)² = 4

(x + 3)² + (y + 2)² = 2²

The center is (-3, -2) and the radius is 2.