Question

2) Express the following radian measures into degree measures a) 7pai/6 b) 1/4 c) - 4​

Answer 1

Answer:

Since 1 radian =

π

180

degrees

∴

6

7π

radians =

6

7π

×

π

180

degrees =210

∘

Answer 2

S O L U T I O N:

(1)

$\sf{ (\frac{7\pi}{6})} \: radian \\ \\ \longrightarrow\sf{ \frac{7\pi}{6} \times \frac{180}{\pi}} \\ \\ \longrightarrow\sf{210 \: degree}$

(2)

$\sf{( \frac{1}{4} )} \: radian \\ \\ \longrightarrow\sf{ \frac{1}{4} \times \frac{180}{\pi} } \\ \\ \longrightarrow\sf{( \frac{45}{\pi} ) \: degree}$

(3)

$\sf{( - 4) \: radian} \\ \\ \longrightarrow\sf{ - 4 \times \frac{180}{\pi} } \\ \\ \longrightarrow\sf{( \frac{ - 720}{\pi} ) \: degree}$