Parametric, Polar & Vectors · Polar Coordinates
Polar Area
The area enclosed by a polar curve r = f(θ) from θ = α to θ = β.
- 2 variables
- 2 worked examples
- 12 in Parametric, Polar & Vectors
Variables
| Symbol | Name | Unit |
|---|---|---|
| alpha | Start angle | rad |
| beta | End angle | rad |
Worked examples
- A = (1/2)∫₀^(2π) 4 dθ = 2(2π) = 4π
Answer: 4π
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Step-by-step solution locked.
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Common questions
What is the Polar Area?
The area enclosed by a polar curve r = f(θ) from θ = α to θ = β. It is one of the parametric, polar & vectors formulas in the CalcRef reference.
What do the symbols in the Polar Area mean?
In the Polar Area, alpha is the start angle (rad); beta is the end angle (rad).
How do you use the Polar Area?
Worked example. Find the area enclosed by r = 2 (circle of radius 2). A = (1/2)∫₀^(2π) 4 dθ = 2(2π) = 4π. Answer: 4π.
Practice
Quiz yourself on Parametric, Polar & Vectors
Polar Area is one of 12 Parametric, Polar & Vectors formulas in CalcRef, out of 136 in the library. Today's free round is 10 mixed multiple-choice questions drawn from the same dataset as this page, refreshed every day and replayable as often as you like - no account needed.