If s denote the length of the arc of a circle of radius r su

If s denote the length of the arc of a circle of radius r subtended by a central angle theta find the missing quantity s = 7.68 meters, theta = 2.4 radians, r = ?

Solution

s=r*theta
where s is the length of arc
r is the radius
theta is the central angle
s=7.68
theta=2.4
r=s/theta
r=7.68/2.4=3.2
therefore radius=3.2m