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Question (11)

QN009638

The arc length of a circle of radius 7 cm subtending 180° is:

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

Correct Answer: B

Explanation:

Semicircular arc = πr = 22 cm.

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Question (12)

QN009639

Which statement is correct for arcs in the same circle?

(A) Larger central angle gives shorter arc
(B) Arc length is independent of angle
(C) Equal central angles give equal arcs
(D) Arc length depends only on diameter

Correct Answer: C

Explanation:

Equal central angles subtend equal arcs.

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Question (13)

QN009640

The length of the major arc corresponding to 270° in a circle of radius 14 cm is:

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

Correct Answer: D

Explanation:

Arc length = 270/360 × 88 = 66 cm.

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Question (14)

QN009641

A wheel of radius 35 cm rotates through 180°. Distance covered by a point on its rim is:

(A) 55 cm
(B) 110 cm
(C) 220 cm
(D) 440 cm

Correct Answer: B

Explanation:

Semicircular arc = πr = 110 cm.

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Question (15)

QN009642

The length of an arc subtending 30° in a circle of diameter 28 cm is:

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

Correct Answer: A

Explanation:

Radius = 14 cm, so arc length = 22/3 cm.

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Question (16)

QN009643

A circle has radius 10 cm. The arc length for a 72° angle is:

(A) 4π cm
(B) 8π cm
(C) 10π cm
(D) 20π cm

Correct Answer: A

Explanation:

Arc length = 72/360 × 2π × 10 = 4π cm.

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Question (17)

QN009644

Which arc is longer in the same circle?

(A) Arc subtending 45°
(B) Arc subtending 90°
(C) Both equal
(D) Cannot be determined

Correct Answer: B

Explanation:

Larger central angle gives longer arc.

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Question (18)

QN009645

The complete circumference of a circle can be regarded as an arc of:

(A) 90°
(B) 180°
(C) 270°
(D) 360°

Correct Answer: D

Explanation:

A full circle subtends 360°.

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Question (19)

QN009646

The length of the minor arc of a circle of radius 21 cm subtending 120° is:

(A) 22 cm
(B) 44 cm
(C) 66 cm
(D) 88 cm

Correct Answer: B

Explanation:

Arc length = 120/360 × 132 = 44 cm.

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Question (20)

QN009647

A sector subtends 150° at the centre of a circle of radius 14 cm. The arc length is:

(A) 110/3 cm
(B) 220/3 cm
(C) 55 cm
(D) 88 cm

Correct Answer: A

Explanation:

Arc length = 150/360 × 88 = 110/3 cm.

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Question (11)

The arc length of a circle of radius 7 cm subtending 180° is:

Explanation:

Link:

Question (12)

Which statement is correct for arcs in the same circle?

Explanation:

Link:

Question (13)

The length of the major arc corresponding to 270° in a circle of radius 14 cm is:

Explanation:

Link:

Question (14)

A wheel of radius 35 cm rotates through 180°. Distance covered by a point on its rim is:

Explanation:

Link:

Question (15)

The length of an arc subtending 30° in a circle of diameter 28 cm is:

Explanation:

Link:

Question (16)

A circle has radius 10 cm. The arc length for a 72° angle is:

Explanation:

Link:

Question (17)

Which arc is longer in the same circle?

Explanation:

Link:

Question (18)

The complete circumference of a circle can be regarded as an arc of:

Explanation:

Link:

Question (19)

The length of the minor arc of a circle of radius 21 cm subtending 120° is:

Explanation:

Link:

Question (20)

A sector subtends 150° at the centre of a circle of radius 14 cm. The arc length is:

Explanation:

Link:

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