# Polar Area & Arc Length Approximations

- Author:
- Ron Smith

- Topic:
- Area

1. Enter a function f(θ) such as θ, 1+2cos(θ), or 4sin(3θ) to see the graph of r = f(θ) 0 ≤ θ ≤ 2π.
2. Click "Partition" to see the lines that partition the angles α ≤ θ ≤ β into n equal angles.
3. Click "Sample" to see sample points, one in each angle of the partition.
4. Click "Sectors" to see the sectors approximating the area in each angle of the partition, as well as the
approximating sum.
5. Click "Segments" to see the line segments between partition points and the approximating sum for
the arc length.