Circles Center and Radius

Question

Center and radius of a circle
A circle has the equation: (x - 5)^2 + y^2 = 8
What are the center and radius of the circle?

Answer 1

The equation is (x - 5)² + y² = 8

 

The general equation for a circle is (x - a)² + (y - b)² = r², where (a, b) is the center of the circle and r is the radius of the circle.

 

The center of this particular  circle is when x - 5 = 0 and y = 0, and is (5, 0).

 

The radius of the circle is r = √(8) = 2 √(2)