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) $r = a(1 + \sin \theta)$
Problem
Find the area enclosed by r = 2a cos2 θ.
The length of arc in polar plane is given by the formula:
The formula above is derived in two ways.
Example 6
What is the area within the curve r2 = 16 cos θ?
Find the area enclosed by four-leaved rose r = a cos 2θ.
Example 4
Find the area of the inner loop of the limacon r = a(1 + 2 cos θ).
Example 3
Find the area inside the cardioid r = a(1 + cos θ) but outside the circle r = a.
Example 1
Find the area enclosed by r = 2a sin2 θ.
The fundamental equation for finding the area enclosed by a curve whose equation is in polar coordinates is...
