Question

Length of the chord of a circle is equal to its radius, find the angle subtended by this chord at
the centre of the circle.

Answer 1

the angle subtended by this chord at
the centre of the circle will be equal to 60° because it is forming an equilateral triangle

Answer 2

O is the centre of the circle.

AB chord = radius OA

OA = OB ( Radii of same circle )

Therefore ,

In ∆OAB ,

OA = OB = AB

OAB is an equilateral triangle.

<A = <B = <O = 60°

Angle subtended by the chord at the

center = 60°

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