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Question (1)

QN009528

The angle subtended by an arc at the centre of a circle is always ______ the angle subtended by the same arc at any point on the remaining part of the circle.

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

Correct Answer: C

Explanation:

The angle at the centre is double the angle at the circumference.

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Question (2)

QN009529

An arc subtends an angle of 120° at the centre of a circle. The angle subtended by the same arc at a point on the circle is:

(A) 30°
(B) 45°
(C) 60°
(D) 120°

Correct Answer: C

Explanation:

Angle at circumference = 120° ÷ 2 = 60°.

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Question (3)

QN009530

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

(A) 45°
(B) 60°
(C) 90°
(D) 180°

Correct Answer: C

Explanation:

Angle in a semicircle is always 90°.

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Question (4)

QN009531

If an arc subtends 80° at the circumference, then the angle subtended by the same arc at the centre is:

(A) 40°
(B) 80°
(C) 120°
(D) 160°

Correct Answer: D

Explanation:

Angle at centre = 2 × 80° = 160°.

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Question (5)

QN009532

Angles subtended by the same arc in the same segment of a circle are:

(A) Complementary
(B) Equal
(C) Supplementary
(D) Right angles

Correct Answer: B

Explanation:

Angles in the same segment are equal.

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Question (6)

QN009533

An arc subtends an angle of 150° at the centre. The angle subtended by it at the circumference is:

(A) 60°
(B) 75°
(C) 90°
(D) 150°

Correct Answer: B

Explanation:

Angle at circumference = 150° ÷ 2 = 75°.

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Question (7)

QN009534

If two angles subtended by the same arc are equal, then the points lie on the:

(A) Diameter
(B) Same segment
(C) Radius
(D) Tangent

Correct Answer: B

Explanation:

Equal angles standing on the same arc lie in the same segment.

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Question (8)

QN009535

A major arc subtends an angle of 220° at the centre. The angle subtended by the same arc at the circumference is:

(A) 90°
(B) 100°
(C) 110°
(D) 220°

Correct Answer: C

Explanation:

Angle at circumference = 220° ÷ 2 = 110°.

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Question (9)

QN009536

If an arc subtends a right angle at the circumference, then the corresponding central angle is:

(A) 45°
(B) 90°
(C) 135°
(D) 180°

Correct Answer: D

Explanation:

Angle at centre = 2 × 90° = 180°.

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Question (10)

QN009537

The angle subtended by a minor arc at the centre is 70°. The angle subtended by the same arc at a point on the major arc is:

(A) 35°
(B) 70°
(C) 105°
(D) 140°

Correct Answer: A

Explanation:

Angle at circumference = 70° ÷ 2 = 35°.

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Question (1)

The angle subtended by an arc at the centre of a circle is always ______ the angle subtended by the same arc at any point on the remaining part of the circle.

Explanation:

Link:

Question (2)

An arc subtends an angle of 120° at the centre of a circle. The angle subtended by the same arc at a point on the circle is:

Explanation:

Link:

Question (3)

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

Explanation:

Link:

Question (4)

If an arc subtends 80° at the circumference, then the angle subtended by the same arc at the centre is:

Explanation:

Link:

Question (5)

Angles subtended by the same arc in the same segment of a circle are:

Explanation:

Link:

Question (6)

An arc subtends an angle of 150° at the centre. The angle subtended by it at the circumference is:

Explanation:

Link:

Question (7)

If two angles subtended by the same arc are equal, then the points lie on the:

Explanation:

Link:

Question (8)

A major arc subtends an angle of 220° at the centre. The angle subtended by the same arc at the circumference is:

Explanation:

Link:

Question (9)

If an arc subtends a right angle at the circumference, then the corresponding central angle is:

Explanation:

Link:

Question (10)

The angle subtended by a minor arc at the centre is 70°. The angle subtended by the same arc at a point on the major arc is:

Explanation:

Link:

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