Find the radian measures corresponding to the following degree measures:

(i) 25°


(ii) – 47°30′


(iii) 240°


(iv) 520°


(i) Given: 25°


We know that 1° = radians


25° = 25 × = radians


25° = radians


(ii) Given: – 47°30′


We know that 1° = 60’


1’ = °


-30’ = - ° = - 0.5°


-47° 30’ = -47.5°


We know that 1° = radians


-47.5° = -47.5 × = -26388 × π = -0.8290 radians


-47.5° = -0.8290 radians


(iii) Given: 240°


We know that 1° = radians


240° = 240 × = radians


240° = radians


(iv) Given: 520°


We know that 1° = radians


520° = 520 × = = 9.075 radians


520° = 9.075 radians


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