Question

Find the standard form of the equation of the circle whose center and radius are given.

$\left(h,k\right)=\left(-1,-2\right)$and$r=1$

Short answer

Standard form of the equation is${\left(x+1\right)}^2+{\left(y+2\right)}^2=1$.

Step-by-step solution

Step 1. Given information.

Consider the given center and radius .

Step 2. Using the standard form equation.x-h2+y-k2=r2

Substitute the value of $h,k,r$.

${\left(x+1\right)}^2+{\left(y+2\right)}^2=1$