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Question (1)

QN0036971

1. Which part of a circular region is enclosed by two radii and the corresponding arc?

(A) Segment
(B) Sector
(C) Chord
(D) Secant

Correct Answer: B

Explanation:

A sector is the region enclosed by two radii and the corresponding arc.

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Question (2)

QN0036972

2. A sector has a central angle of 72°. What fraction of the complete circular region does it represent?

(A) 1/3
(B) 1/4
(C) 1/5
(D) 2/5

Correct Answer: C

Explanation:

Fraction = 72/360 = 1/5.

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Question (3)

QN0036973

3. The angle of the major sector corresponding to a minor sector of 140° is:

(A) 220°
(B) 240°
(C) 280°
(D) 320°

Correct Answer: A

Explanation:

Major sector angle = 360° - 140° = 220°.

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Question (4)

QN0036974

4. The region enclosed between a chord and its corresponding arc is called a:

(A) Sector
(B) Segment
(C) Radius
(D) Circumference

Correct Answer: B

Explanation:

The region between a chord and its corresponding arc is called a segment.

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Question (5)

QN0036975

5. Unless otherwise specified, the term sector in this chapter refers to the:

(A) Major sector
(B) Minor sector
(C) Complete circle
(D) Semicircular sector

Correct Answer: B

Explanation:

Unless stated otherwise, sector means the minor sector.

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Question (6)

QN0036976

6. A circle has radius 14 cm. Find the area of a sector of angle 90°. Take π = 22/7.

(A) 154 cm²
(B) 196 cm²
(C) 308 cm²
(D) 616 cm²

Correct Answer: A

Explanation:

Area = 90/360 × 22/7 × 14² = 154 cm².

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Question (7)

QN0036977

7. The radius of a circle is 21 cm. What is the length of an arc subtending 120° at the centre? Take π = 22/7.

(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 (8)

QN0036978

8. A sector has radius 10 cm and angle 72°. Using π = 3.14, its area is:

(A) 31.4 cm²
(B) 62.8 cm²
(C) 72.4 cm²
(D) 78.5 cm²

Correct Answer: B

Explanation:

Area = 72/360 × 3.14 × 10² = 62.8 cm².

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Question (9)

QN0036979

9. The area of a complete circle is 616 cm². If π = 22/7, its radius is:

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

Correct Answer: B

Explanation:

πr² = 616, so r² = 196 and r = 14 cm.

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Question (10)

QN0036980

10. A sector has an angle of 45°. What percentage of the complete circle does it represent?

(A) 10%
(B) 12.5%
(C) 15%
(D) 20%

Correct Answer: B

Explanation:

Percentage = 45/360 × 100 = 12.5%.

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Question (1)

1. Which part of a circular region is enclosed by two radii and the corresponding arc?

Explanation:

Link:

Question (2)

2. A sector has a central angle of 72°. What fraction of the complete circular region does it represent?

Explanation:

Link:

Question (3)

3. The angle of the major sector corresponding to a minor sector of 140° is:

Explanation:

Link:

Question (4)

4. The region enclosed between a chord and its corresponding arc is called a:

Explanation:

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Question (5)

5. Unless otherwise specified, the term sector in this chapter refers to the:

Explanation:

Link:

Question (6)

6. A circle has radius 14 cm. Find the area of a sector of angle 90°. Take π = 22/7.

Explanation:

Link:

Question (7)

7. The radius of a circle is 21 cm. What is the length of an arc subtending 120° at the centre? Take π = 22/7.

Explanation:

Link:

Question (8)

8. A sector has radius 10 cm and angle 72°. Using π = 3.14, its area is:

Explanation:

Link:

Question (9)

9. The area of a complete circle is 616 cm². If π = 22/7, its radius is:

Explanation:

Link:

Question (10)

10. A sector has an angle of 45°. What percentage of the complete circle does it represent?

Explanation:

Link:

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