Default Title

Question (1)

QN009628

The length of an arc depends on:

(A) Radius only
(B) Central angle only
(C) Radius and central angle
(D) Diameter only

Correct Answer: C

Explanation:

Arc length depends on both radius and central angle.

Link:

Report Error

Question (2)

QN009629

The arc corresponding to a central angle of 360° is:

(A) Minor arc
(B) Major arc
(C) Semicircular arc
(D) Complete circumference

Correct Answer: D

Explanation:

A 360° angle gives the complete circumference.

Link:

Report Error

Question (3)

QN009630

The formula for the length of an arc subtending angle θ° in a circle of radius r is:

(A) θ/360 × πr²
(B) θ/360 × 2πr
(C) 2πr²
(D) πr

Correct Answer: B

Explanation:

Arc length = θ/360 × 2πr.

Link:

Report Error

Question (4)

QN009631

The length of a semicircular arc of radius 14 cm is:

(A) 22 cm
(B) 44 cm
(C) 66 cm
(D) 88 cm

Correct Answer: B

Explanation:

Arc length = πr = 44 cm.

Link:

Report Error

Question (5)

QN009632

The length of a quarter-circle arc of radius 28 cm is:

(A) 22 cm
(B) 44 cm
(C) 66 cm
(D) 88 cm

Correct Answer: B

Explanation:

Quarter arc = 1/4 × 2πr = 44 cm.

Link:

Report Error

Question (6)

QN009633

An arc subtends 90° at the centre of a circle of radius 21 cm. Its length is:

(A) 11 cm
(B) 22 cm
(C) 33 cm
(D) 44 cm

Correct Answer: C

Explanation:

Arc length = 90/360 × 2 × 22/7 × 21 = 33 cm.

Link:

Report Error

Question (7)

QN009634

The arc length subtended by 60° at the centre of a circle of radius 14 cm is:

(A) 44/3 cm
(B) 22 cm
(C) 44 cm
(D) 66 cm

Correct Answer: A

Explanation:

Arc length = 60/360 × 2 × 22/7 × 14 = 44/3 cm.

Link:

Report Error

Question (8)

QN009635

A circle has circumference 88 cm. The length of the arc subtending 45° is:

(A) 11 cm
(B) 22 cm
(C) 44 cm
(D) 66 cm

Correct Answer: A

Explanation:

Arc length = 45/360 × 88 = 11 cm.

Link:

Report Error

Question (9)

QN009636

If the radius of a circle is doubled, the length of a given arc becomes:

(A) Half
(B) Double
(C) Four times
(D) Unchanged

Correct Answer: B

Explanation:

Arc length is directly proportional to radius.

Link:

Report Error

Question (10)

QN009637

The ratio of the lengths of arcs subtending 60° and 120° in the same circle is:

(A) 1 : 1
(B) 1 : 2
(C) 2 : 1
(D) 3 : 2

Correct Answer: B

Explanation:

Arc lengths are proportional to central angles.

Link:

Report Error

Question (1)

The length of an arc depends on:

Explanation:

Link:

Question (2)

The arc corresponding to a central angle of 360° is:

Explanation:

Link:

Question (3)

The formula for the length of an arc subtending angle θ° in a circle of radius r is:

Explanation:

Link:

Question (4)

The length of a semicircular arc of radius 14 cm is:

Explanation:

Link:

Question (5)

The length of a quarter-circle arc of radius 28 cm is:

Explanation:

Link:

Question (6)

An arc subtends 90° at the centre of a circle of radius 21 cm. Its length is:

Explanation:

Link:

Question (7)

The arc length subtended by 60° at the centre of a circle of radius 14 cm is:

Explanation:

Link:

Question (8)

A circle has circumference 88 cm. The length of the arc subtending 45° is:

Explanation:

Link:

Question (9)

If the radius of a circle is doubled, the length of a given arc becomes:

Explanation:

Link:

Question (10)

The ratio of the lengths of arcs subtending 60° and 120° in the same circle is:

Explanation:

Link:

Excel With Tutors

ExcelWithTutors

For Student

For Tutors

Learn

OUR POLICY