Q 28. - Precalculus Enhanced with Graphing Utilities

Question

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

$\left(h,k\right)=\left(-2,3\right)$and $r=4$$r=4$

Step-by-Step Solution

Answer

Standard form is ${\left(x+2\right)}^2+{\left(y-3\right)}^2=16$.

Step 1. Given information.

Consider the given center and radius .

Step 2. Formula used.

To find the standard  equation of circle use the formula. 

$$\begin{gathered} {\left(x-h\right)}^2+{\left(y-k\right)}^2=r^2 \\ {\left(x+2\right)}^2+{\left(y-3\right)}^2=4^2 \end{gathered}$$