Question

2

A chord 12 cm long subtends an angle
of 40° at the centre of the circle. Calcu-
late the radius of the circle.
​

Answer 1

Chord 12 cm long subtends an angle of 40 degrees at the center of a circle.

θ= 40° = 0.698 rad

Let R be the radius of circle.

Chord Length = 2Rsin(θ/2)

12=2R sin (0.698 /2)

R= 17.54

Ans: Radius of circle = 17.54 cm