Question

Convert 40° 20' into radian measure.

Answer 1

hey mate

this ans is

40° 20'

= 40° + 20' 

= 40° + 20°/60

= 40°+ 1°/3

= (120°+1°)/3

= 121°/3

We know that Radian measure = 

(π/180°)×degree measure

= (π/180°)×(121°/3)

= (121/540)π radians ans.

hope this answer helpful u

Answer 2

Answer:

$\bold{\frac{121\pi}{540} }$ radian

Step-by-step explanation:

We know that 180° = π radian.

Hence      40° 20' = $40\frac{1}{3}\: degree$ = $\frac{\pi}{180}$ × $\frac{121}{3}$ radian = $\bold{\frac{121\pi}{540} }$

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