Question

Find the radian measure corresponding to the following degree measures:

(i) 300° 

(ii) 35°

(iii) - 56°

(iv) 135°

(v) - 300°

(vi) 7°30’ 

(vii) 125°30’ 

(viii) - 47°30’

Answer 1

We know that 180° = π rad ⇒ 1° = π/ 180 rad 

(i) Given 300°

(ii) Given 35°

(iii) Given - 56°

(iv) Given 135°

(v) Given -300°

(vi) Given 7° 30’ 

We know that 30’ = (1/2)° 

∴ 7° 30’ = (7 1/2)°

(vii) Given 125° 30’ 

We know that 30’ = (1/2)° 

∴ 125° 30’ = (1251/2)°

(viii) Given - 47°30’ 

We know that 30’ = (1/2)° 

∴ - 47° 30’ = - (471/2)°