# How do you graph #r=10costheta#?

##### 1 Answer

The graph is the circle of radius 5 with center at (5, 0) on the initial line

#### Explanation:

The polar equation of the family of circles through the pole r = 0)

and center at (a. 0) is

So, here,

with parameter a = 5.

The general polar equation of the grand family of all circles, with

center at Cartesian

( from

As

the pole r = 0 is outside the circle.

Easy-to-remember direct polar form is

with the center at polar

In this example

Cartesian

Radius a = 5, and in the polar coordinates ,

the center is

Graph of

graph{x^2+y^2 -10x = 0[-11 11 -5.5 5.5]}