# How do you find the area of the region that lies inside the curves #r= 1+cos(theta)# and #r= 1-cos(theta)#?

##### 1 Answer

First let us "see" our area:

Basically you want the area of the two loops enclosed by the two curves (vertically along the vertical axis).

In general the area in polar form is:

In this case let us start with the upper loop; you have:

area red shaded + area blue shaded

Area1=

So you get:

Hope it helps (check my maths)