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