Question

Convert the following degree measure to radian measure.
48°20'

Answer 1

9514 1404 393

Answer:

29π/108 radians ≈ 0.843576 radians

Explanation:

There are 60 minutes (60') in a degree, so your angle in degrees is ...

48°20' = (48 20/60)° = (48 1/3)° = (145/3)°

There are π/180 radians in 1 degree, so the number of radians is ...

(145/3)(π/180) = 29π/108 radians ≈ 0.843576 radians