Question

A volmeter's pointer is 6 centimeters in length. Find an angle through which it rotates when it moves 2.5 centimeters on the scale.

Answer 1

The circumference is 2pi(6) or 12pi

let the angle be ߺ and set up a ratio

360/(12pi)= ß/2.5
ß = 2.5(360)/(12pi)
= 23.9º

or if α is the angle in radians

2pi/(12pi) = α/2.5
α = .417 radians

Answer 2

Thank You