Question

Express the following angles in degrees, revolution and radians

(a) 45o

(b) 65 rad

(c) 120 rev

Answer 1

(a)

$$45^{\circ}\cdot\dfrac{1\ rev}{360^{\circ}}=0.125\ rev,$$ $$45^{\circ}\cdot\dfrac{\pi\ rad}{180^{\circ}}=0.78\ rad.$$

(b)

$$65\ rad\cdot\dfrac{180^{\circ}}{\pi\ rad}=3724^{\circ},$$ $$65\ rad\cdot\dfrac{1\ rev}{2\pi\ rad}=10\ rev.$$

(c)

$$120\ rev\cdot\dfrac{360^{\circ}}{1\ rev}=43200^{\circ},$$ $$120\ rev\cdot\dfrac{2\pi\ rad}{1\ rev}=754\ rad.$$