Question

The equation of a circle is x^2 + (y - 10)^2 = 16. What is the radius and center?

Answer 1

Center = (0, -10)

Radius = 4 units

Explanation:

`x^2 + (y - 10)^2 = 16\\(x-0)^2 + (y - 10)^2 = 4^2\\Equating\: it \: with\: \\(x-h)^2 + (y - k)^2 = r^2\\We\: find:\\-h = 0\implies h = 0\\-k = -10\implies k = 10\\Center = (-h,\:-k) \\Center = (0,\:-10) \\r^2 = 4^2\implies r = 4\\Radius = 4\:units`