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What is the ratio of the angles subtended by a chord at the centre of a circle to the angle subtended at any point on the circumference of the ci
Question

What is the ratio of the angles subtended by a chord at the centre of a circle to the angle subtended at any point on the circumference of the circle?

A.

1 : 3

B.

2 : 1

C.

3 : 1

D.

1 : 2

Correct option is B

Given:

A fixed chord in a circle subtends an angle at the centre and an angle at a point on the circumference.

Concept Used:

Angle subtended by an arc (or chord) at the centre is twice the angle subtended on the circumference standing on the same arc:
AOB=2ACB.\angle AOB = 2\angle ACB.​​

Solution:
Hence, the ratio (centre : circumference) = 2 : 1.

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