Area of a circular sector calculator
Enter the dimensions of a circular sector and read off its area, its perimeter and the quantities that follow from them.
degrees
Area
13.089 969m²
- Perimeter
- 15.235 988
- Arc length
- 5.235 987 8
- Chord length
- 5
Show the working
- Radius = 5
- Central angle = 60
- Area = pi * 5^2 * 60 / 360 = 13.09
- Perimeter = 2*pi*5*60/360 + 2*5 = 15.236
- Arc length = 2*pi*5*60/360 = 5.235 99
- Chord length = 2 * 5 * sin(rad(60/2)) = 5
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- area = pi r^2 x angle / 360
- arc length = 2 pi r x angle / 360
- chord = 2 r sin(angle/2)
Lengths are entered in metres by default; switch any field to feet, inches or millimetres and the conversion is exact.