# How do I graph a polar equation?

Mar 12, 2016

See explanation

#### Explanation:

Imagine an arm where one end is pinned at the centre of a circular style graph and at the other end is a pencil. Also, the length of this arm can change such that its length is governed by a formula involving the angle of rotation.

Suppose the length of the arm is $r$ and we had one equation that was $r = 5 \sin \theta$ and a second where $r = 5 \sin \left(3 \theta\right)$

Then we would have:

If you so chose you could graph it on standard graph paper. In which case it would look like: