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Question (11)

QN009538

In a circle, equal arcs subtend:

(A) Equal angles at the centre
(B) Unequal angles at the centre
(C) Supplementary angles
(D) Straight angles

Correct Answer: A

Explanation:

Equal arcs subtend equal central angles.

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Question (12)

QN009539

If the angle subtended by an arc at the circumference is 55°, then the angle subtended at the centre is:

(A) 55°
(B) 100°
(C) 110°
(D) 120°

Correct Answer: C

Explanation:

Angle at centre = 2 × 55° = 110°.

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Question (13)

QN009540

Angles standing on the same chord and on the same side of the chord are always:

(A) Equal
(B) Supplementary
(C) Complementary
(D) Reflex

Correct Answer: A

Explanation:

Angles in the same segment are equal.

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Question (14)

QN009541

A chord subtends an angle of 100° at the centre. The angle subtended by the same chord on the remaining part of the circle is:

(A) 40°
(B) 50°
(C) 100°
(D) 200°

Correct Answer: B

Explanation:

Angle at circumference = 100° ÷ 2 = 50°.

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Question (15)

QN009542

The angle subtended by an arc at the centre is four times the angle subtended at the circumference. If the angle at the circumference is x°, then the central angle is:

(A) x°
(B) 2x°
(C) 3x°
(D) 4x°

Correct Answer: D

Explanation:

Central angle = 4x°.

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Question (16)

QN009543

In a circle, an arc subtends 130° at the centre. What angle does it subtend at a point on the circle?

(A) 55°
(B) 60°
(C) 65°
(D) 130°

Correct Answer: C

Explanation:

Angle at circumference = 130° ÷ 2 = 65°.

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Question (17)

QN009544

If two arcs of the same circle are equal, then the angles subtended by them at the circumference are:

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

Correct Answer: B

Explanation:

Equal arcs subtend equal angles at the circumference.

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Question (18)

QN009545

An arc subtends an angle of 45° at the circumference. The corresponding angle at the centre is:

(A) 45°
(B) 60°
(C) 90°
(D) 135°

Correct Answer: C

Explanation:

Angle at centre = 2 × 45° = 90°.

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Question (19)

QN009546

The angle subtended by a complete circle at the centre is:

(A) 90°
(B) 180°
(C) 270°
(D) 360°

Correct Answer: D

Explanation:

A complete angle around a point is 360°.

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Question (20)

QN009547

If an arc subtends 72° at the centre, then the angle subtended at the circumference is:

(A) 18°
(B) 36°
(C) 72°
(D) 144°

Correct Answer: B

Explanation:

Angle at circumference = 72° ÷ 2 = 36°.

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Question (11)

In a circle, equal arcs subtend:

Explanation:

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Question (12)

If the angle subtended by an arc at the circumference is 55°, then the angle subtended at the centre is:

Explanation:

Link:

Question (13)

Angles standing on the same chord and on the same side of the chord are always:

Explanation:

Link:

Question (14)

A chord subtends an angle of 100° at the centre. The angle subtended by the same chord on the remaining part of the circle is:

Explanation:

Link:

Question (15)

The angle subtended by an arc at the centre is four times the angle subtended at the circumference. If the angle at the circumference is x°, then the central angle is:

Explanation:

Link:

Question (16)

In a circle, an arc subtends 130° at the centre. What angle does it subtend at a point on the circle?

Explanation:

Link:

Question (17)

If two arcs of the same circle are equal, then the angles subtended by them at the circumference are:

Explanation:

Link:

Question (18)

An arc subtends an angle of 45° at the circumference. The corresponding angle at the centre is:

Explanation:

Link:

Question (19)

The angle subtended by a complete circle at the centre is:

Explanation:

Link:

Question (20)

If an arc subtends 72° at the centre, then the angle subtended at the circumference is:

Explanation:

Link:

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