Sectors of a Circle Quiz

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Explore circle sectors visually

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Smriti L Banerjee TGT Math

India

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Froggy Jumps Sectors of a Circle QuizVersión en línea Explore circle sectors visually por Smriti L Banerjee TGT Math 1 What defines a sector of a circle? a A region bounded by two chords and an arc b A region bounded by two radii and an arc c A region formed by a diameter and a tangent 2 If a circle has radius 6 cm and a central angle of 60°, what is the sector area? (Use π≈3.14) a 18.8 cm² b 75.4 cm² c 37.7 cm² 3 Which formula gives the area of a sector with central angle θ (in degrees) and radius r? a Area = θ × πr b Area = (θ/360) × πr² c Area = 2πr × θ 4 A sector with radius 10 cm and central angle 90° has which arc length? (π≈3.14) a arc length = (90/360) × πr = 2.5π cm b arc length = 2πr × θ = 20π cm c arc length = (90/360) × 2πr = 5π cm ≈ 15.7 cm 5 What is the central angle of a semicircular sector? a 90° b 180° c 360° 6 If a sector has radius 8 cm and area 32π cm², what is its central angle? (π≈3.14) a 120° b 60° c 240° 7 The arc length of a sector is 12.56 cm with radius 8 cm. What is the central angle? (π≈3.14) a 90° b 45° c 180° 8 Which statement is true about larger sector angles? a They cannot exist for radii > 5 b They subtend larger arcs with greater area c They always have smaller arc lengths 9 A circle with radius 5 cm is divided into a 135° sector. What is its area? (π≈3.14) a 9.82 cm² b 29.32 cm² c 52.36 cm² 10 Which quantity increases if the central angle of a sector increases while radius stays the same? a Only radius b Arc length and sector area c Only arc length

Froggy Jumps

Sectors of a Circle QuizVersión en línea

Explore circle sectors visually

por Smriti L Banerjee TGT Math

What defines a sector of a circle?

A region bounded by two chords and an arc

A region bounded by two radii and an arc

A region formed by a diameter and a tangent

If a circle has radius 6 cm and a central angle of 60°, what is the sector area? (Use π≈3.14)

18.8 cm²

75.4 cm²

37.7 cm²

Which formula gives the area of a sector with central angle θ (in degrees) and radius r?

Area = θ × πr

Area = (θ/360) × πr²

Area = 2πr × θ

A sector with radius 10 cm and central angle 90° has which arc length? (π≈3.14)

arc length = (90/360) × πr = 2.5π cm

arc length = 2πr × θ = 20π cm

arc length = (90/360) × 2πr = 5π cm ≈ 15.7 cm

What is the central angle of a semicircular sector?

90°

180°

360°

If a sector has radius 8 cm and area 32π cm², what is its central angle? (π≈3.14)

120°

60°

240°

The arc length of a sector is 12.56 cm with radius 8 cm. What is the central angle? (π≈3.14)

90°

45°

180°

Which statement is true about larger sector angles?

They cannot exist for radii > 5

They subtend larger arcs with greater area

They always have smaller arc lengths

A circle with radius 5 cm is divided into a 135° sector. What is its area? (π≈3.14)

9.82 cm²

29.32 cm²

52.36 cm²

Which quantity increases if the central angle of a sector increases while radius stays the same?

Only radius

Arc length and sector area

Only arc length

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Sectors of a Circle Quiz

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Sectors of a Circle QuizVersión en línea

por Smriti L Banerjee TGT Math

What defines a sector of a circle?

If a circle has radius 6 cm and a central angle of 60°, what is the sector area? (Use π≈3.14)

Which formula gives the area of a sector with central angle θ (in degrees) and radius r?

A sector with radius 10 cm and central angle 90° has which arc length? (π≈3.14)

What is the central angle of a semicircular sector?

If a sector has radius 8 cm and area 32π cm², what is its central angle? (π≈3.14)

The arc length of a sector is 12.56 cm with radius 8 cm. What is the central angle? (π≈3.14)

Which statement is true about larger sector angles?

A circle with radius 5 cm is divided into a 135° sector. What is its area? (π≈3.14)

Which quantity increases if the central angle of a sector increases while radius stays the same?

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