Question

A wire of length 121 cm is bent so as to lie along the arc of a circle of radius 180 cm. Find in degrees, the angle subtended at the centre by the arc.

Answer 1

Radius of circle = 180 cm
Circumference = 2πr = 360 * 22 /7
Length of wire = 121 cm
Angle subtended by arc on center = length of arc / circumference * 360°
= 121 *7 * 360 / (360 *22)
=38.5°