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Question (31)

QN009658

A circular track has radius 70 m. A runner covers an arc corresponding to 90°. Distance covered is:

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

Correct Answer: B

Explanation:

Arc length = 90/360 × 2 × 22/7 × 70 = 110 m.

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Question (32)

QN009659

Which quantity remains fixed for a given arc in a particular circle?

(A) Radius and central angle
(B) Diameter only
(C) Area only
(D) Chord only

Correct Answer: A

Explanation:

A given arc is determined by the radius and central angle.

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Question (33)

QN009660

The ratio of a semicircular arc to the whole circumference is:

(A) 1 : 4
(B) 1 : 3
(C) 1 : 2
(D) 2 : 3

Correct Answer: C

Explanation:

A semicircular arc is half of the full circumference.

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Question (34)

QN009661

The arc length of a 36° sector in a circle of radius 35 cm is:

(A) 11 cm
(B) 22 cm
(C) 44 cm
(D) 55 cm

Correct Answer: B

Explanation:

Arc length = 36/360 × 2 × 22/7 × 35 = 22 cm.

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Question (35)

QN009662

The tip of a pendulum moves along:

(A) Straight line
(B) Circular arc
(C) Ellipse
(D) Rectangle

Correct Answer: B

Explanation:

The pendulum swings along a circular arc.

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Question (36)

QN009663

In the same circle, the longest arc corresponds to:

(A) Smallest angle
(B) Largest angle
(C) Radius
(D) Diameter

Correct Answer: B

Explanation:

Larger central angle gives longer arc length.

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Question (37)

QN009664

A wheel of diameter 56 cm rotates through 45°. The distance moved by a point on its rim is:

(A) 11 cm
(B) 22 cm
(C) 44 cm
(D) 88 cm

Correct Answer: B

Explanation:

Radius = 28 cm, arc length = 45/360 × 2 × 22/7 × 28 = 22 cm.

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Question (38)

QN009665

The arc length subtended by 300° in a circle of radius 14 cm is:

(A) 110/3 cm
(B) 220/3 cm
(C) 330/3 cm
(D) 132 cm

Correct Answer: B

Explanation:

Arc length = 300/360 × 88 = 220/3 cm.

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Question (39)

QN009666

Which mathematical constant appears in every arc length formula?

(A) 2
(B) 10
(C) π
(D) 360

Correct Answer: C

Explanation:

π appears in all arc length formulas.

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Question (40)

QN009667

The path traced by the hands of a clock is related to the concept of:

(A) Area of square
(B) Volume of cube
(C) Length of an arc
(D) Surface area of cylinder

Correct Answer: C

Explanation:

Clock hands trace circular arcs during motion.

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Question (31)

A circular track has radius 70 m. A runner covers an arc corresponding to 90°. Distance covered is:

Explanation:

Link:

Question (32)

Which quantity remains fixed for a given arc in a particular circle?

Explanation:

Link:

Question (33)

The ratio of a semicircular arc to the whole circumference is:

Explanation:

Link:

Question (34)

The arc length of a 36° sector in a circle of radius 35 cm is:

Explanation:

Link:

Question (35)

The tip of a pendulum moves along:

Explanation:

Link:

Question (36)

In the same circle, the longest arc corresponds to:

Explanation:

Link:

Question (37)

A wheel of diameter 56 cm rotates through 45°. The distance moved by a point on its rim is:

Explanation:

Link:

Question (38)

The arc length subtended by 300° in a circle of radius 14 cm is:

Explanation:

Link:

Question (39)

Which mathematical constant appears in every arc length formula?

Explanation:

Link:

Question (40)

The path traced by the hands of a clock is related to the concept of:

Explanation:

Link:

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