Area in a polar curve - approximate with sectors

This interactive figure dynamically illustrates how an area bounded by a[color=#0000ff] polar function [/color]is calculated. [color=#0000ff]It also displays an approximate value of such an area [/color]broken up into [math]n[/math] sectors.[br][br][b]Note:[/b][br]This figure uses the variable [i]t[/i] instead of the variable [math]\theta[/math]. [br]To enter an exact value in the input box, such as [math]\frac{5\pi}{6}[/math], type "5pi/6".
[i]Developed for use with Thomas' Calculus and [url=https://www.pearson.com/en-us/subject-catalog/p/interactive-calculus-early-transcendentals-single-variable/P200000009666]Interactive Calculus[/url], published by Pearson.[/i]

Information: Area in a polar curve - approximate with sectors