Question

convert 40° 20° into radian meas​

Answer 1

we know that 180⁰= π radian.

1°=60'

1'=60"

$Hence \: 1'=( \frac{1}{60})^{°}$

$40°+20×( \frac{1}{60})°$

$40⁰+20×( \frac{1}{3}) \: digree$

$\frac{121}{3} \times \frac{\pi}{180} \: radian$

$= \frac{121\pi}{540} \: radian$

$Therefore \: \: 40°20'= \frac{121\pi}{540} \: radian.$

$hope it helps ✔︎✔️$

Answer 2

Answer:

we know that 180⁰= π radian.

1°=60'

1'=60"

Hence \: 1'=( \frac{1}{60})^{°}Hence1

′

=(

60

1

)

°

40°+20×( \frac{1}{60})°40°+20×(

60

1

)°

40⁰+20×( \frac{1}{3}) \: digree40⁰+20×(

3

1

)digree

\frac{121}{3} \times \frac{\pi}{180} \: radian

3

121

×

180

π

radian

= \frac{121\pi}{540} \: radian=

540

121π

radian

Therefore \: \: 40°20'= \frac{121\pi}{540} \: radian.Therefore40°20

′

=

540

121π

radian.

hope it helps ✔︎✔️