Geometry · G-C
Arc Length and Sector Area
Arc length = (θ/360) × 2πr; Sector area = (θ/360) × πr². Both are proportional parts of the whole circle.
GeometryCommon Core HSG-C.B.5G-CVerified correct ✓
Worked examples
Find the area of a sector with radius 11 and central angle 90°. Use π ≈ 3.14159. Round to 4 decimal places.
Answer: 95.0332
Find the area of a sector with radius 14 and central angle 180°. Use π ≈ 3.14159. Round to 4 decimal places.
Answer: 307.876
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