Question

Polar Equations to Rectangular Equations

Convert the polar equation to rectangular coordinates

$r=7$

Short answer

The rectangular equation is $x^2+y^2=49$

Step-by-step solution

Step1. Given information

An equation is given in polar coordinate system as $r=7$

Step2. Concept used

For converting in the rectangular coordinate system, use formulae and substitute the value in them. Simplify them and the result is the answer. It will give a curve in the rectangular coordinate system.

Step3. Calculation

Formulae used,

$r^2=x^2+y^2$

Substitute the values in the formulae,

$\begin{array}{l}{r}^2=x^2+y^2\\ \because r=7\\ \Rightarrow r^2=49\\ \Rightarrow x^2+y^2=49\end{array}$

It is a circle of radius 7 units