# How do you find the region inside cardioid #r=1+cos(theta)# and outside the circle #r=3cos(theta)#?

##### 1 Answer

Sep 17, 2015

It is

#### Explanation:

Find the intersection points of the curves hence we have that

The saded area is

(cardiod area from pi/3 to pi)-(cricle area from pi/3 to pi/2)

The cardiod area is

and the circle area is

Hence the shaded area is

The total amount is

A graph for the curves is