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Question (21)

QN009548

Angles subtended by equal arcs of the same circle at the circumference are:

(A) Equal
(B) Double
(C) Half
(D) Unequal

Correct Answer: A

Explanation:

Equal arcs subtend equal angles at the circumference.

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Question (22)

QN009549

In a circle, the angle subtended by an arc at the centre is 200°. The angle subtended by the same arc at the circumference is:

(A) 50°
(B) 90°
(C) 100°
(D) 200°

Correct Answer: C

Explanation:

Angle at circumference = 200° ÷ 2 = 100°.

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Question (23)

QN009550

A chord divides a circle into two arcs. The larger arc is called the:

(A) Minor arc
(B) Semicircle
(C) Major arc
(D) Segment

Correct Answer: C

Explanation:

The larger arc formed by a chord is called the major arc.

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Question (24)

QN009551

If an arc subtends an angle of 25° at the circumference, then the central angle is:

(A) 25°
(B) 50°
(C) 75°
(D) 100°

Correct Answer: B

Explanation:

Angle at centre = 2 × 25° = 50°.

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Question (25)

QN009552

An angle subtended by an arc at the circumference is always ______ the angle subtended at the centre.

(A) Double
(B) Triple
(C) Half
(D) Equal

Correct Answer: C

Explanation:

Angle at circumference is half the angle at the centre.

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Question (26)

QN009553

In a circle, an arc subtends equal angles at two different points on the same segment. These angles are:

(A) Reflex angles
(B) Equal angles
(C) Straight angles
(D) Complementary angles

Correct Answer: B

Explanation:

Angles in the same segment are equal.

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Question (27)

QN009554

A major arc subtends 240° at the centre. The angle subtended by it at the circumference is:

(A) 60°
(B) 90°
(C) 120°
(D) 240°

Correct Answer: C

Explanation:

Angle at circumference = 240° ÷ 2 = 120°.

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Question (28)

QN009555

The angle subtended by a diameter at any point on the remaining circle is:

(A) Acute angle
(B) Right angle
(C) Obtuse angle
(D) Straight angle

Correct Answer: B

Explanation:

Angle in a semicircle is a right angle.

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Question (29)

QN009556

If the angle subtended by an arc at the centre is represented by 2x°, then the angle subtended by the same arc at the circumference is:

(A) x°
(B) 2x°
(C) 3x°
(D) 4x°

Correct Answer: A

Explanation:

Angle at circumference = half of 2x° = x°.

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Question (30)

QN009557

A wheel rotates about its centre. The angle subtended by a fixed arc at the centre during rotation remains:

(A) Variable
(B) Undefined
(C) Constant
(D) Zero

Correct Answer: C

Explanation:

A fixed arc always subtends the same central angle.

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Question (21)

Angles subtended by equal arcs of the same circle at the circumference are:

Explanation:

Link:

Question (22)

In a circle, the angle subtended by an arc at the centre is 200°. The angle subtended by the same arc at the circumference is:

Explanation:

Link:

Question (23)

A chord divides a circle into two arcs. The larger arc is called the:

Explanation:

Link:

Question (24)

If an arc subtends an angle of 25° at the circumference, then the central angle is:

Explanation:

Link:

Question (25)

An angle subtended by an arc at the circumference is always ______ the angle subtended at the centre.

Explanation:

Link:

Question (26)

In a circle, an arc subtends equal angles at two different points on the same segment. These angles are:

Explanation:

Link:

Question (27)

A major arc subtends 240° at the centre. The angle subtended by it at the circumference is:

Explanation:

Link:

Question (28)

The angle subtended by a diameter at any point on the remaining circle is:

Explanation:

Link:

Question (29)

If the angle subtended by an arc at the centre is represented by 2x°, then the angle subtended by the same arc at the circumference is:

Explanation:

Link:

Question (30)

A wheel rotates about its centre. The angle subtended by a fixed arc at the centre during rotation remains:

Explanation:

Link:

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