Converting angle units (degree, radian, revolution) – problems and solutions

1. ¼ rev = ….. o (degree) ?

Solution

1 rev = 360o

½ rev = 180o

¼ rev = 90o

2. ½ rev = …….. rad ?

Solution

1 rev = 2π rad = 2(3.14) rad = 6.28 rad

½ rev = pi rad = 3.14 rad

3. 180o = ….. rev ?

Solution

360o = 1 rev

180o = ½ rev

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4. 90o = ….. rad ?

Solution

360o = 2π rad = 2(3.14) rad = 6.28 rad

180o = π rad = 3.14 rad

90o = ½ π rad = ½ (3.14) = 1.57

5. 60 rad = ….. rev ?

Solution

6.28 rad = 1 rev

60 rad/6.28 = 9.55 rev

6. 40 rad= ….. o ?

Solution

6.28 rad = 360o

40 rad/6.28 = (6.37)(360o) = 2292.99o

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