Question

Find the equation of the circle shown in figure

Short answer

The equation of the circle is ${(x+1)}^2+{(y-1)}^2=9$.

Step-by-step solution

Step 1. Determining general Equation of circle.

An equation of the circle with center$(h,k)$ and radiusis

${(x-h)}^2+{(y-k)}^2=r^2$

This is called the standard form for the equation of the circle.

Step 2. Determining the center and radius of the circle. 

Radius of circle$r=3$

The Centre of the circle is$(-1,1)$

Step 3. Determining the equation of a circle.

$h=-1,k=1,r=3$

The equation of the circle is

${(x+1)}^2+{(y-1)}^2=9$