If the length of a chord of a circle is equal to that of

Home » Aptitude » Plane Geometry » Question

If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by the chord is

1. 1
2. π/2
3. π/3
4. π/4

Correct Option: C

We draw a figure with the details in question ,

According to the question,
OA = AB = OB
∴ ∆ OAB is an equilateral triangle.
∴ ∠AOB = 60°
∵ 180° = π radian

∴ 60° =	π	× 60 =	π	radian
	180		2