# How do you graph #r=8costheta#?

##### 2 Answers

Explained below

#### Explanation:

Write the given polar equation as

Nor convert to cartesean form

This equation represents a circle with centre at (4,0) and radius 4. This can now be easily graphed

If you convert this equation to Cartesian coordinates, the resulting equation will be a circle.

#### Explanation:

Given:

Multiply both sides by r:

Substitute the Cartesian conversion equations:

Add the

From the pattern

This makes the equation [1], become:

This is a circle with a radius of 4 and a center at the Cartesian point

To graph the original equation, set your compass to a radius of 4 and put the center at the polar point