# Plane Areas

## Example 7 | Area inside the square not common to the quarter circles

## 06 Area Within the Curve r^2 = 16 cos θ

**Example 6**

What is the area within the curve r^{2} = 16 cos θ?

## 05 Area Enclosed by Four-Leaved Rose r = a cos 2θ

Find the area enclosed by four-leaved rose r = a cos 2θ.

## Example 6 | Plane Areas in Rectangular Coordinates

**Example 6**

Find each of the two areas bounded by the curves y = x^{3} - 4x and y = x^{2} + 2x.

## 02 Area Bounded by the Lemniscate of Bernoulli r^2 = a^2 cos 2θ

**Example 2**

Find the area bounded by the lemniscate of Bernoulli r^{2} = a^{2} cos 2θ.