Sector Area & Perimeter Quiz

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Area & perimeter of a sector

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Esther Vinodhini

India

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Sector Area & Perimeter Quiz


Sector Area & Perimeter QuizVersion en ligne Area & perimeter of a sector par Esther Vinodhini 1 A sector has radius 5 cm and central angle 60°. What is its area? (use π≈3.14) a Area = 9.42 cm² b Area = 15.70 cm² c Area = 12.56 cm² d Area = 7.85 cm² 2 A sector with radius 7 cm and angle 90° has what arc length? a Arc length = 14 cm b Arc length = 7 cm c Arc length = 3.14×7 = 21.98 cm d Arc length = 28 cm 3 What is the perimeter of a sector with r=4 cm and θ=120°? a Perimeter = 4 + 4 + (120/360)×2π×4 = 8 + 8π/3 ≈ 18.95 cm b Perimeter = 4 + 4 + 6π cm c Perimeter = 4 + 4 + 4π cm d Perimeter = 8 + 4π cm 4 For a sector with r=6 cm and θ=180°, what is the area? a Area = (180/360)×π×6² = 0.5×36π ≈ 56.55 cm² b Area = 36π cm² c Area = 72π cm² d Area = 18π cm² 5 If r=3 cm and θ=45°, find the arc length. a Arc length = 3.75 cm b Arc length = 4.5 cm c Arc length = 1.5 cm d Arc length = (45/360)×2π×3 = (1/8)×6π = 0.75π ≈ 2.36 cm 6 A sector with r=8 cm and θ=30° has what area? a Area ≈ 64 cm² b Area ≈ 8.32 cm² c Area ≈ 31.42 cm² d Area ≈ (30/360)×π×64 = (1/12)×64π ≈ 16.76 cm² 7 Find the perimeter of a sector: r=5 cm, θ=240°. a Perimeter = 2×5 + (240/360)×2π×5 = 10 + (2/3)×10π ≈ 31.42 cm b Perimeter = 10 + 5π cm c Perimeter = 15 + 2π cm d Perimeter = 5 + 10π cm 8 A sector with r=9 cm and θ=0° has area how much? a Area = 4.5 cm² b Area = 0 cm² c Area = 9π cm² d Area = 81 cm² 9 If r=10 cm and θ=360°, sector area equals? a Area = 50π cm² b Area = 10π cm² c Area = π×10² = 100π ≈ 314.16 cm² d Area = 200 cm² 10 What is the arc length of a sector with r=2 cm and θ=270°? a Arc length = (270/360)×2π×2 = (3/4)×4π = 3π ≈ 9.42 cm b Arc length = 2π cm c Arc length = 6 cm d Arc length = 4.5 cm Feedback 1 Area = (60/360)×π×r² = (1/6)×3.14×25 = 13.09 cm². If π≈3.14, correct area ≈ 13.1 cm². 2 Arc length for a 90° sector is (90/360)×2πr = (1/4)×2π×7 ≈ 11.0 cm; using the given formula θ/360×2πr gives 0.25×2×3.14×7 ≈ 11.0 cm. 3 Perimeter = two radii plus arc length. Arc = (θ/360)×2πr = (120/360)×2π×4 = (1/3)×8π = 8π/3 ≈ 8.38 cm; total ≈ 16.38 cm. 4 Half-circle sector: area = 0.5×π×r² = 0.5×π×36 = 18π ≈ 56.55 cm². 5 Arc length = θ/360 × 2πr. Here = 0.125×6π ≈ 2.36 cm. 6 Area = (θ/360)πr². 30/360=1/12; 1/12×64π ≈ 16.76 cm². 7 Arc length = (240/360)×2πr = (2/3)×2π×5 = 20π/3 ≈ 20.94 cm; total ≈ 31.42 cm. 8 Zero angle yields zero sector area regardless of radius. 9 Full circle is θ=360°, area is πr². 10 Arc length = θ/360 × 2πr; 270/360 = 3/4, so 3/4×4π = 3π ≈ 9.42 cm.

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Sector Area & Perimeter Quiz

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Créé par

Téléchargez la version pour jouer sur papier

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Sector Area & Perimeter QuizVersion en ligne

par Esther Vinodhini

A sector has radius 5 cm and central angle 60°. What is its area? (use π≈3.14)

A sector with radius 7 cm and angle 90° has what arc length?

What is the perimeter of a sector with r=4 cm and θ=120°?

For a sector with r=6 cm and θ=180°, what is the area?

If r=3 cm and θ=45°, find the arc length.

A sector with r=8 cm and θ=30° has what area?

Find the perimeter of a sector: r=5 cm, θ=240°.

A sector with r=9 cm and θ=0° has area how much?

If r=10 cm and θ=360°, sector area equals?

What is the arc length of a sector with r=2 cm and θ=270°?

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