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Question (21)

QN009478

In a circle of radius 20 cm, a chord is at a distance of 16 cm from the centre. The chord length is:

(A) 12 cm
(B) 16 cm
(C) 24 cm
(D) 32 cm

Correct Answer: C

Explanation:

Half chord = √(20²−16²)=12 cm, so chord = 24 cm.

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Question (22)

QN009479

The shortest distance from the centre of a circle to a chord is measured along the:

(A) Radius
(B) Tangent
(C) Perpendicular
(D) Diameter

Correct Answer: C

Explanation:

The perpendicular gives the shortest distance.

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Question (23)

QN009480

A chord 48 cm long is at a distance of 7 cm from the centre. The radius of the circle is:

(A) 24 cm
(B) 25 cm
(C) 26 cm
(D) 28 cm

Correct Answer: B

Explanation:

Half chord = 24 cm. Radius = √(24²+7²)=25 cm.

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Question (24)

QN009481

If the perpendicular distance of two chords from the centre is the same, then the chords are:

(A) Parallel
(B) Equal
(C) Diameters
(D) Tangents

Correct Answer: B

Explanation:

Chords equidistant from the centre are equal.

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Question (25)

QN009482

A chord of length 30 cm is at a distance of 16 cm from the centre. The radius is:

(A) 17 cm
(B) 19 cm
(C) 21 cm
(D) 31 cm

Correct Answer: A

Explanation:

Half chord = 15 cm. Radius = √(15²+16²)=17 cm.

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Question (26)

QN009483

In a circle, the diameter is perpendicular to a chord. Then the diameter:

(A) Touches the chord externally
(B) Bisects the chord
(C) Is parallel to the chord
(D) Forms a tangent

Correct Answer: B

Explanation:

A perpendicular from the centre bisects the chord.

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Question (27)

QN009484

A chord is 9 cm from the centre of a circle of radius 15 cm. Find the chord length.

(A) 12 cm
(B) 18 cm
(C) 24 cm
(D) 30 cm

Correct Answer: C

Explanation:

Half chord = √(15²−9²)=12 cm, so chord = 24 cm.

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Question (28)

QN009485

Which of the following statements is true?

(A) Equal chords are always parallel
(B) Equal chords are equidistant from the centre
(C) Equal chords are diameters
(D) Equal chords subtend supplementary angles

Correct Answer: B

Explanation:

Equal chords are equidistant from the centre.

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Question (29)

QN009486

The distance between the centre and the diameter of a circle is:

(A) Radius
(B) Diameter
(C) Zero
(D) One unit

Correct Answer: C

Explanation:

Diameter passes through the centre, so distance is zero.

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Question (30)

QN009487

In a circle, a chord of length 10 cm lies 12 cm away from the centre. The radius is:

(A) 10 cm
(B) 11 cm
(C) 12 cm
(D) 13 cm

Correct Answer: D

Explanation:

Half chord = 5 cm. Radius = √(12²+5²)=13 cm.

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Question (21)

In a circle of radius 20 cm, a chord is at a distance of 16 cm from the centre. The chord length is:

Explanation:

Link:

Question (22)

The shortest distance from the centre of a circle to a chord is measured along the:

Explanation:

Link:

Question (23)

A chord 48 cm long is at a distance of 7 cm from the centre. The radius of the circle is:

Explanation:

Link:

Question (24)

If the perpendicular distance of two chords from the centre is the same, then the chords are:

Explanation:

Link:

Question (25)

A chord of length 30 cm is at a distance of 16 cm from the centre. The radius is:

Explanation:

Link:

Question (26)

In a circle, the diameter is perpendicular to a chord. Then the diameter:

Explanation:

Link:

Question (27)

A chord is 9 cm from the centre of a circle of radius 15 cm. Find the chord length.

Explanation:

Link:

Question (28)

Which of the following statements is true?

Explanation:

Link:

Question (29)

The distance between the centre and the diameter of a circle is:

Explanation:

Link:

Question (30)

In a circle, a chord of length 10 cm lies 12 cm away from the centre. The radius is:

Explanation:

Link:

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