Question

Enter the equation of the circle with the given center and radius.

Center: (9, 0)
radius: √5

Answer 1

(x - 9)² + y² = (√5)² = 5

Explanation:

Start with the standard equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - y)^2 = r^2

Now substitute 0 for k, 9 for h and √5 for r:

(x - 9)² + (y - 0)² = (√5)², which simplifies to:

(x - 9)² + y² = (√5)² = 5