Question

Give the center and radius of the circle. x 2 + y2 = 25

Answer 1

(0,0)

5

Explanation:

Circles are shapes where every point is equidistant from the center.

Center

The equation of a circle is given as (x-h)² + (y-k)² = r². In this equation, the center of the circle is (h, k). However, the question does not have h or k values visible; the x and y are by themselves. This means that the h and k values must be equal to 0. So, the center is (0,0).

Radius

The radius of a circle is the distance from any point on the circle to the center of the circle. In the equation, (x-h)² + (y-k)² = r², r represents the radius. So, to find the radius of a circle, square root the constant on the right side.

• 
  `√(25) =5`

This means that the radius of the circle is 5.