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Question (21)

QN009608

The circumference of a circle is 31.4 cm. Its diameter is:

(A) 5 cm
(B) 10 cm
(C) 15 cm
(D) 20 cm

Correct Answer: B

Explanation:

d = 31.4 ÷ 3.14 = 10 cm.

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Question (22)

QN009609

A circle has circumference 88 cm. Its diameter is:

(A) 7 cm
(B) 14 cm
(C) 21 cm
(D) 28 cm

Correct Answer: D

Explanation:

d = 88 ÷ (22/7) = 28 cm.

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Question (23)

QN009610

The perimeter of a sector of radius 14 cm and angle 90° is:

(A) 22 cm
(B) 44 cm
(C) 50 cm
(D) 72 cm

Correct Answer: C

Explanation:

Perimeter = arc length + 2r = 22 + 28 = 50 cm.

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Question (24)

QN009611

The perimeter of a semicircle of radius 7 cm is:

(A) 22 cm
(B) 36 cm
(C) 44 cm
(D) 58 cm

Correct Answer: B

Explanation:

Perimeter = πr + 2r = 22 + 14 = 36 cm.

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Question (25)

QN009612

The arc length of a 45° sector in a circle of radius 14 cm is:

(A) 5.5 cm
(B) 11 cm
(C) 22 cm
(D) 44 cm

Correct Answer: B

Explanation:

Arc length = 45/360 × 2πr = 11 cm.

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Question (26)

QN009613

Which mathematician first used the Greek symbol π for the C/D ratio?

(A) Archimedes
(B) Aryabhata
(C) William Jones
(D) Ramanujan

Correct Answer: C

Explanation:

William Jones introduced the symbol π.

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Question (27)

QN009614

The formula discovered by Mādhava for π was based on:

(A) Squares
(B) Infinite series
(C) Rectangles
(D) Cubes

Correct Answer: B

Explanation:

Mādhava discovered an infinite series for π.

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Question (28)

QN009615

A car tyre has diameter 56 cm. Number of revolutions needed to travel 1 km is:

(A) 455
(B) 568
(C) 625
(D) 714

Correct Answer: B

Explanation:

One revolution = 176 cm, so 100000 ÷ 176 ≈ 568.

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Question (29)

QN009616

If two circles have equal circumferences, then they must have equal:

(A) Areas only
(B) Diameters only
(C) Radii and diameters
(D) Chords

Correct Answer: C

Explanation:

Equal circumference implies equal radius and diameter.

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Question (30)

QN009617

The circumference of a circle is four times its diameter because:

(A) π = 4
(B) C = 4d
(C) C = πd and π ≈ 3.14
(D) Diameter is very small

Correct Answer: C

Explanation:

Circumference depends on πd.

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Question (21)

The circumference of a circle is 31.4 cm. Its diameter is:

Explanation:

Link:

Question (22)

A circle has circumference 88 cm. Its diameter is:

Explanation:

Link:

Question (23)

The perimeter of a sector of radius 14 cm and angle 90° is:

Explanation:

Link:

Question (24)

The perimeter of a semicircle of radius 7 cm is:

Explanation:

Link:

Question (25)

The arc length of a 45° sector in a circle of radius 14 cm is:

Explanation:

Link:

Question (26)

Which mathematician first used the Greek symbol π for the C/D ratio?

Explanation:

Link:

Question (27)

The formula discovered by Mādhava for π was based on:

Explanation:

Link:

Question (28)

A car tyre has diameter 56 cm. Number of revolutions needed to travel 1 km is:

Explanation:

Link:

Question (29)

If two circles have equal circumferences, then they must have equal:

Explanation:

Link:

Question (30)

The circumference of a circle is four times its diameter because:

Explanation:

Link:

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