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Question (21)

QN009648

The ratio of lengths of arcs in the same circle equals the ratio of their:

(A) Radii
(B) Diameters
(C) Central angles
(D) Areas

Correct Answer: C

Explanation:

Arc lengths are proportional to central angles.

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Question (22)

QN009649

An arc has length 22 cm in a circle of radius 14 cm. The angle subtended at the centre is:

(A) 45°
(B) 60°
(C) 90°
(D) 180°

Correct Answer: C

Explanation:

22 cm is one-fourth of circumference, so angle = 90°.

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Question (23)

QN009650

A clock’s minute hand is 14 cm long. The tip moves through 60° in 10 minutes. The distance moved is:

(A) 44/3 cm
(B) 22 cm
(C) 44 cm
(D) 66 cm

Correct Answer: A

Explanation:

Arc length = 60/360 × 88 = 44/3 cm.

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Question (24)

QN009651

If the central angle is tripled in the same circle, the arc length becomes:

(A) One-third
(B) Double
(C) Triple
(D) Four times

Correct Answer: C

Explanation:

Arc length is directly proportional to central angle.

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Question (25)

QN009652

Which of the following is a semicircular arc?

(A) Arc subtending 45°
(B) Arc subtending 90°
(C) Arc subtending 180°
(D) Arc subtending 360°

Correct Answer: C

Explanation:

A semicircle subtends 180° at the centre.

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Question (26)

QN009653

The radius of a circle is 28 cm. Length of the arc subtending 135° is:

(A) 33 cm
(B) 44 cm
(C) 66 cm
(D) 88 cm

Correct Answer: C

Explanation:

Arc length = 135/360 × 176 = 66 cm.

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Question (27)

QN009654

A circle has circumference 132 cm. The length of the arc subtending 120° is:

(A) 22 cm
(B) 33 cm
(C) 44 cm
(D) 66 cm

Correct Answer: C

Explanation:

Arc length = 120/360 × 132 = 44 cm.

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Question (28)

QN009655

The distance travelled by the tip of a second hand of length 7 cm in 30 seconds is:

(A) 11 cm
(B) 22 cm
(C) 44 cm
(D) 77 cm

Correct Answer: B

Explanation:

In 30 seconds, the hand covers 180°, so arc length = 22 cm.

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Question (29)

QN009656

If two arcs of the same circle are equal in length, then their central angles are:

(A) Unequal
(B) Equal
(C) Supplementary
(D) Complementary

Correct Answer: B

Explanation:

Equal arcs subtend equal angles at the centre.

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Question (30)

QN009657

The arc length subtended by 240° in a circle of radius 7 cm is:

(A) 44/3 cm
(B) 88/3 cm
(C) 176/3 cm
(D) 88 cm

Correct Answer: B

Explanation:

Arc length = 240/360 × 44 = 88/3 cm.

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Question (21)

The ratio of lengths of arcs in the same circle equals the ratio of their:

Explanation:

Link:

Question (22)

An arc has length 22 cm in a circle of radius 14 cm. The angle subtended at the centre is:

Explanation:

Link:

Question (23)

A clock’s minute hand is 14 cm long. The tip moves through 60° in 10 minutes. The distance moved is:

Explanation:

Link:

Question (24)

If the central angle is tripled in the same circle, the arc length becomes:

Explanation:

Link:

Question (25)

Which of the following is a semicircular arc?

Explanation:

Link:

Question (26)

The radius of a circle is 28 cm. Length of the arc subtending 135° is:

Explanation:

Link:

Question (27)

A circle has circumference 132 cm. The length of the arc subtending 120° is:

Explanation:

Link:

Question (28)

The distance travelled by the tip of a second hand of length 7 cm in 30 seconds is:

Explanation:

Link:

Question (29)

If two arcs of the same circle are equal in length, then their central angles are:

Explanation:

Link:

Question (30)

The arc length subtended by 240° in a circle of radius 7 cm is:

Explanation:

Link:

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