Q 29. - Precalculus Enhanced with Graphing Utilities

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 $r=1$

Step-by-Step Solution

Answer

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

Step 1. Given information.

Consider the given center and radius .

Step 2. Using the standard form equation. x - h 2 + y - k 2 = r 2

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

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