Question

convert 40 Degrees 20 minute into Radian measure

Answer 1

$\LARGE{\underline{\underline{\bf{Solution :}}}}$

As, we have to convert 40° 20' into radian.

We know that,

$\Large{\star{\boxed{\sf{180^{\circ} = \pi \: \: radian}}}}$

→($\sf{40\frac{1}{3}}$)

→($\sf{\frac{121}{3}}$)

$\rule{150}{2}$

Now,

$\sf{→\frac{\pi}{180} \times \frac{121}{3} \: \: radian} \\ \\ \sf{→\frac{121 \: \pi}{540} \: \: radian} \\ \\ \sf{\frac{→121 \times \frac{22}{7}}{540} \: \: radian} \\ \\ \sf{→ \frac{121 \times 22}{540 \times 7} \: \: radian} \\ \\ \sf{→\frac{2662}{3780} \: \: radian} \\ \\ \sf{→0.704 \: \: radian}$

Answer 2

refer the attachment

hope it helps ✔︎✔︎