Chapter 13, Problem 3CR

To determine

To calculate the center and radius of circle.

Answer to Problem 3CR

The center and radius of circle is,

  $r=10\text{ and }c=(-3,0)$

Explanation of Solution

Given information: Equation of the circle is ${(x+3)}^2+y^2=100$

Formula used:

Equation of circle ${(x-h)}^2+{(y-k)}^2=r^2$ with $(h,k)$ as center and $r$ as radius.

Calculation:

The given equation is ${(x+3)}^2+y^2=100$

Now rewriting the equation as ${(x-(-3))}^2+{(y-0)}^2={10}^2$

Now comparing it with equation of circle ${(x-h)}^2+{(y-k)}^2=r^2$ , it can be concluded that,

radius, $r=10$ and center, $c=(-3,0)$