# How do you find the cartesian graph of #r = 5sin(θ)#?

##### 1 Answer

You basically get a circle.

#### Explanation:

Consider the following diagram:

We can see that the relationships between rectangular and polar coordinates are:

and:

Given our expression:

multiply by

so that you get, using our relationships of conversion:

which is the equation of a circle centered at

(try to substitute the values of the center and radius and you'll find (1)).

You can now plot it directly.

Next, to have some fun, I used Excel to evaluate, using our relationships of conversion, the coordinates