## Perimeter of the curve r = 4(1 + sin theta) by integration

Problem
What is the perimeter of the curve r = 4(1 + sin θ)?
A. 32
B. 30
C. 34
D. 28

## 03 Area inside the cardioid r = a(1 + cos θ) but outside the circle r = a

Example 3
Find the area inside the cardioid r = a(1 + cos θ) but outside the circle r = a.

## 03 Area Enclosed by Cardioids: r = a(1 + sin θ); r = a(1 - sin θ), r = a(1 + cos θ), r = a(1 - cos θ)

Problem
Find the area individually enclosed by the following Cardioids:
(A)   $r = a(1 - \cos \theta)$
(B)   $r = a(1 + \cos \theta)$
(C)   $r = a(1 - \sin \theta)$
(D)   $r = a(1 + \sin \theta)$