Chapter 13.1, Problem 12PSB

To determine

To write: The equation that represents the given circle.

Answer to Problem 12PSB

The equation is $x^2+y^2=36$ .

Explanation of Solution

Given:

The given circle is as follows.

  

Calculation:

Let the equation be $x^2+y^2=c$ .

Substitute $6$ for $x$ , and 0 for $y$ in the equation $x^2+y^2=c$ .

  $\begin{array}{c}{6}^2+0^2=c\\ 36=c\end{array}$

Substitute $36$ for $c$ in the equation $x^2+y^2=c$ .

  $x^2+y^2=36$

Therefore, the equation is $x^2+y^2=36$ .