About this topic
Before you begin
Sketch simple polar curves and find the areas they enclose and their arc lengths.
Learning goals
- Sketch and interpret simple polar curves on a stated angle interval
- Calculate areas bounded by polar curves
- Calculate arc lengths of curves in polar form
Syllabus statements covered
- Include: simple polar curves (for 0 ⩽ θ < 2π or −π < θ ⩽ π or a subset of either of these intervals; and where r is non-negative throughout the domain); use of formula A = ½∫_α^β r² dθ for the area of a sector; arc length of curves defined in polar form.
In this topic
Polar curves, area and arc length
Sketch polar curves with non-negative r, then find the area they sweep out and their arc length.