## 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

**Problem**

What is the perimeter of the curve *r* = 4(1 + sin θ)?

A. 32

B. 30

C. 34

D. 28

**Example 3**

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

**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) $r = a(1 + \sin \theta)$