EWT | Academic Question

Questions
Question (11)
QN009598
The length of a quarter-circle arc of radius 28 cm is:
  • (A) 22 cm
  • (B) 44 cm
  • (C) 66 cm
  • (D) 88 cm

Correct Answer: B
Explanation:

Quarter arc = 1/4 × 2πr = 44 cm.

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Question (12)
QN009599
The arc length subtended by 90° at the centre of a circle of radius 14 cm is:
  • (A) 11 cm
  • (B) 22 cm
  • (C) 44 cm
  • (D) 88 cm

Correct Answer: B
Explanation:

Arc length = 90/360 × 2πr = 22 cm.

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Question (13)
QN009600
The arc length subtended by 120° at the centre of a circle of radius 21 cm is:
  • (A) 22 cm
  • (B) 44 cm
  • (C) 66 cm
  • (D) 88 cm

Correct Answer: B
Explanation:

Arc length = 120/360 × 2 × 22/7 × 21 = 44 cm.

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Question (14)
QN009601
A wheel has radius 35 cm. Distance covered in one revolution is:
  • (A) 110 cm
  • (B) 220 cm
  • (C) 440 cm
  • (D) 330 cm

Correct Answer: B
Explanation:

One revolution covers circumference = 220 cm.

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Question (15)
QN009602
A bicycle wheel of diameter 70 cm completes 100 revolutions. Distance travelled is:
  • (A) 110 m
  • (B) 220 m
  • (C) 330 m
  • (D) 440 m

Correct Answer: B
Explanation:

One revolution = 220 cm, so total = 22000 cm = 220 m.

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Question (16)
QN009603
The ratio of circumferences of two circles is 3:5. The ratio of their radii is:
  • (A) 9:25
  • (B) 3:5
  • (C) 5:3
  • (D) 6:25

Correct Answer: B
Explanation:

Circumference is directly proportional to radius.

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Question (17)
QN009604
If radius increases by 50%, circumference increases by:
  • (A) 25%
  • (B) 50%
  • (C) 75%
  • (D) 100%

Correct Answer: B
Explanation:

Circumference changes in the same ratio as radius.

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Question (18)
QN009605
The circumference of a circle is numerically equal to its area. The radius is:
  • (A) 1 unit
  • (B) 2 units
  • (C) π units
  • (D) 4 units

Correct Answer: B
Explanation:

2πr = πr² gives r = 2.

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Question (19)
QN009606
A circular garden has radius 7 m. A person walks around it 5 times. Total distance covered is:
  • (A) 110 m
  • (B) 220 m
  • (C) 440 m
  • (D) 550 m

Correct Answer: B
Explanation:

One round = 44 m, so 5 rounds = 220 m.

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Question (20)
QN009607
Which of the following best explains why runners in outer lanes start ahead in a race track?
  • (A) Outer lanes are narrower
  • (B) Outer lanes have smaller radius
  • (C) Outer lanes cover greater curved distance
  • (D) Inner lanes are slippery

Correct Answer: C
Explanation:

Outer lanes have larger curved paths.

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