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Question (31)

QN0037001

31. A sector has central angle 150°. The angle of its corresponding major sector is:

(A) 180°
(B) 200°
(C) 210°
(D) 240°

Correct Answer: C

Explanation:

Major angle = 360° - 150° = 210°.

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Question (32)

QN0037002

32. A circular garden has radius 14 m. A sector occupying 25% of the garden is used for flowers. The angle of the sector is:

(A) 45°
(B) 60°
(C) 90°
(D) 120°

Correct Answer: C

Explanation:

25% of 360° = 90°.

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Question (33)

QN0037003

33. A horse is tied at a corner of a square field with a rope of length 7 m. Assuming the rope sweeps a quarter-circle, the grazing area is:

(A) 38.5 m²
(B) 49 m²
(C) 77 m²
(D) 154 m²

Correct Answer: A

Explanation:

Grazing area = 1/4 × 22/7 × 7² = 38.5 m².

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Question (34)

QN0037004

34. A horse tied at a corner of a square field has its rope length increased from 5 m to 10 m. Taking π = 3.14, the increase in grazing area is:

(A) 58.875 m²
(B) 78.5 m²
(C) 117.75 m²
(D) 235.5 m²

Correct Answer: A

Explanation:

Increase = 1/4 × 3.14 × (10² - 5²) = 58.875 m².

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Question (35)

QN0037005

35. An umbrella is circular with radius 42 cm and has 6 equally spaced ribs. The area between two consecutive ribs is:

(A) 462 cm²
(B) 924 cm²
(C) 1386 cm²
(D) 1848 cm²

Correct Answer: B

Explanation:

Each sector = 360°/6 = 60°. Area = 60/360 × 22/7 × 42² = 924 cm².

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Question (36)

QN0037006

36. A circular umbrella of radius 45 cm has 8 equally spaced ribs. Using π = 3.14, the area between two consecutive ribs is approximately:

(A) 397.6 cm²
(B) 795.6 cm²
(C) 1590.8 cm²
(D) 3181.5 cm²

Correct Answer: B

Explanation:

Each sector angle = 360°/8 = 45°. Area = 45/360 × 3.14 × 45² ≈ 795.6 cm².

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Question (37)

QN0037007

37. A car wiper of length 25 cm sweeps through an angle of 115°. Taking π = 22/7, the area cleaned by one wiper is approximately:

(A) 500 cm²
(B) 625 cm²
(C) 628.5 cm²
(D) 785 cm²

Correct Answer: C

Explanation:

Area = 115/360 × 22/7 × 25² ≈ 628.5 cm².

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Question (38)

QN0037008

38. Two identical non-overlapping wipers each clean an area of approximately 628.5 cm² per sweep. The total area cleaned is:

(A) 628.5 cm²
(B) 942.75 cm²
(C) 1257 cm²
(D) 2514 cm²

Correct Answer: C

Explanation:

Total area = 2 × 628.5 = 1257 cm².

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Question (39)

QN0037009

39. A lighthouse illuminates a sector of angle 80° up to a distance of 16.5 km. Using π = 3.14, the illuminated sea area is approximately:

(A) 189.2 km²
(B) 570.8 km²
(C) 760.8 km²
(D) 855.5 km²

Correct Answer: A

Explanation:

Area = 80/360 × 3.14 × 16.5² ≈ 189.2 km².

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Question (40)

QN0037010

40. A circular brooch has diameter 35 mm. Five diameters divide it into 10 equal sectors. The angle of each sector is:

(A) 18°
(B) 30°
(C) 36°
(D) 45°

Correct Answer: C

Explanation:

Five diameters divide the circle into 10 equal sectors. Each angle = 360°/10 = 36°.

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Question (31)

31. A sector has central angle 150°. The angle of its corresponding major sector is:

Explanation:

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Question (32)

32. A circular garden has radius 14 m. A sector occupying 25% of the garden is used for flowers. The angle of the sector is:

Explanation:

Link:

Question (33)

33. A horse is tied at a corner of a square field with a rope of length 7 m. Assuming the rope sweeps a quarter-circle, the grazing area is:

Explanation:

Link:

Question (34)

34. A horse tied at a corner of a square field has its rope length increased from 5 m to 10 m. Taking π = 3.14, the increase in grazing area is:

Explanation:

Link:

Question (35)

35. An umbrella is circular with radius 42 cm and has 6 equally spaced ribs. The area between two consecutive ribs is:

Explanation:

Link:

Question (36)

36. A circular umbrella of radius 45 cm has 8 equally spaced ribs. Using π = 3.14, the area between two consecutive ribs is approximately:

Explanation:

Link:

Question (37)

37. A car wiper of length 25 cm sweeps through an angle of 115°. Taking π = 22/7, the area cleaned by one wiper is approximately:

Explanation:

Link:

Question (38)

38. Two identical non-overlapping wipers each clean an area of approximately 628.5 cm² per sweep. The total area cleaned is:

Explanation:

Link:

Question (39)

39. A lighthouse illuminates a sector of angle 80° up to a distance of 16.5 km. Using π = 3.14, the illuminated sea area is approximately:

Explanation:

Link:

Question (40)

40. A circular brooch has diameter 35 mm. Five diameters divide it into 10 equal sectors. The angle of each sector is:

Explanation:

Link:

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