Question

Find the radian measures corresponding to the following degree measures: (i) 25° (ii) – 47° 30' (iii) 240° (iv) 520°

Answer 1

(i)

The radian measure is 11 16 radian .

π radian=180° 1 radian=( 180 π )°

Multiply both sides by 11 16 .

11 16  radian=( 11 16 × 180° π ) =39.39°

Thus 11 16  radian is 39.39° .

(ii)

The radian measure is −4 radian .

π radian=180° 1 radian=( 180° π )

Multiply both sides by −4 .

−4 radian=( −4× 180° π ) =−229.18°

Thus, −4 radian is −229.18° .

(iii)

The radian measure is 5π 3 radian .

π radian=180° 1 radian=( 180° π )

Multiply both sides by 5π 3 .

5π 3 radian=( 5π 3 × 180° π ) =300°

Thus, 5π 3 radian is 300° .

(iv)

The radian measure is 7π 6 radian .

π radian=180° 1 radian=( 180° π )

Multiply both sides by 7π 6 .

7π 6  radian=( 7π 6 × 180° π ) =210°

Thus, 7π 6  radian is 210° .