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CalcVerse📐 GeometryArc Length & Sector Area
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Arc Length & Sector Area

Calculate arc length and sector area from radius & angle

Grades 9–10

Arc Length & Sector Area

90°r=5
Fraction of Circle
θ / 360° = 90° / 360° = 0.25
Arc Length
L = (θ/360) × 2πr = 0.25 × 2π × 5 = 7.854 units
Sector Area
A = (θ/360) × πr² = 0.25 × π × 5² = 19.635 units²
Arc Length
7.854
units
Sector Area
19.635
units²
Full Circle Reference
Circumference: 31.416
Area: 78.54
Fraction used: 25%
π ≈ 3.14159…