Chapter 1.4, Problem 61AYU

To determine

To explain: How center and radius of a circle can be used to graph the circle.

Explanation of Solution

Given: The center and radius of circle.

Center: It is point which is equidistance from all points on circle.

Radius: It is distance between center and point on circle.

Take a point at center and open an arc with length of equal to radius.

Rotate the arc across center and draw a circle.

Let center $\left(h,k\right)$ and radius r

Equation of circle: ${\left(x-h\right)}^2+{\left(y-k\right)}^2=r^2$