Geometry worksheet on calculating sector area and arc length with diagrams of circles and angles.

Worksheet titled "Sector Area" with geometry problems involving circles, radii, and arc lengths.

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1. Arc length = (120/360) * 2π * 8 = (1/3) * 16π = 16π/3 cm
2. Radius = 24/2 = 12 cm; Arc length = (52/360) * 2π * 12 = (13/90) * 24π = 52π/15 cm
3. Radius = (Arc length * 360) / (θ * 2π) = (5π * 360) / (30 * 2π) = (5 * 360) / (30 * 2) = 30 cm
4. Arc length = (120/360) * 2π * 12 = (1/3) * 24π = 8π cm
5. Circumference = (Arc length * 360) / θ = (22π * 360) / 80 = (22 * 360π) / 80 = 99π cm; Diameter = 99 cm
6. Circumference = 2πr = 25π, so r = 12.5 cm; Arc length = (90/360) * 2π * 12.5 = (1/4) * 25π = 25π/4 cm
7. Central angle θ = (Arc length * 360) / (2πr) = (14π * 360) / (2π * 18) = (14 * 360) / 36 = 140 degrees

Parent Tip: Review the logic above to help your child master the concept of arc length worksheet with answers.

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