Sector Area Calculator
Calculate sector area and arc length from radius and central angle (radian support)
扇形の面積計算
計算結果
面積
弧の長さ
弦の長さ
円に占める割合
円周
計算式
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About Sector Area Calculator
A sector is a portion of a circle defined by a central angle. This tool simultaneously computes three essential measurements.
Area and Arc Length In degrees, area is calculated as 'S = πr²θ/360' and arc length as 'L = 2πrθ/360'. When using radians, the formulas become 'S = r²θ/2' and 'L = rθ'.
Chord Length The chord is the straight-line distance connecting the two radii. Calculated as 'c = 2r·sin(θ/2)', understanding the difference between chord and arc is fundamental.
Circle Context Compare sector measurements to full circumference (C = 2πr) with automatic percentage calculation. Instantly grasp how much of the whole circle is represented.
Ideal for math education, exam preparation, architecture, engineering calculations, and geometry problems. Formulas are displayed for verification and learning purposes.
How to use Sector Area Calculator
- Select the angle input mode (degrees or radians) at the top
- Enter the radius and central angle values for instant calculation
- Area, arc length, chord length, circumference, and percentage are displayed in real-time
- Detailed calculation formulas are shown for learning and verification
Benefits of Sector Area Calculator
- Single tool for area, arc length, and chord length calculations
- Flexible degree and radian support for diverse use cases
- Automatic circumference and percentage display for context
- Step-by-step formulas shown for learning and verification
- Real-time updates as you adjust radius and angle values
- Secure browser-only processing with no data transmission
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