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?

Question

Question

This question was previously asked in

RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 2)

Answer 1

Given:

A chord subtends an angle at the center of a circle and at any point on the circumference.

Formula used:

Angle subtended at the center = 2 × Angle subtended at the circumference

Calculation:

Let the angle subtended at the circumference be x.

⇒ Angle subtended at the center = 2x

⇒ Ratio = Angle subtended at the center : Angle subtended at the circumference

⇒ Ratio = 2x : x

⇒ Ratio = 2 : 1

∴ The correct answer is option (4).

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