Chapter 13.1, Problem 19WE

To determine

To find the center and radius of a circle

Answer to Problem 19WE

The value of center are $\left(j,-14\right)$ and radius are $\sqrt{17}$

Explanation of Solution

The given equation is

  ${\left(x-j\right)}^2+{\left(y+14\right)}^2=17$

Calculation:

The center and radius of a circle can be obtained as

  ${\left(x-j\right)}^2+{\left(y+14\right)}^2=17$

The standard form of the equation of a circle with center and radius is

  ${\left(x-a\right)}^2+{\left(y-b\right)}^2=r^2$

Where $\left(a,b\right)$ is the center and r is the radius

Comparing given equation to the standard form of the equation

  $a=j,b=-14\text{ and }r=\sqrt{17}$

Hence,

The value of center are $\left(j,-14\right)$ and radius are $\sqrt{17}$