Question

Explain how the center and radius of a circle can be used to graph the circle.

Short answer

Using center (h, k) and radius r , to plot the circle first start counting from the center r units in the four directions (up, down, left, right) and connect those four points with a round circle.

Step-by-step solution

Step 1. Statement about the concept

The standard form of the equation of a circle containing center (h, k) and radius r is${\left(x-h\right)}^2+{\left(y-k\right)}^2=r^2$

Step 2.  Describing sketching the graph 

To plot a circle on a graph, first convert the equation into a standard form of the circle containing center (h, k), and radius r and r is a distance fixed point from fixed center r.

Then start counting from the center r units in the four directions (up, down, left, right) and connect those four points with a round circle.