Polar Area & Arc Length Approximations

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.[br]2. Click "Partition" to see the lines that partition the angles α ≤ θ ≤ β into n equal angles.[br]3. Click "Sample" to see sample points, one in each angle of the partition.[br]4. Click "Sectors" to see the sectors approximating the area in each angle of the partition, as well as the [br] approximating sum.[br]5. Click "Segments" to see the line segments between partition points and the approximating sum for[br] the arc length.[br]

Information: Polar Area & Arc Length Approximations