Question

20° 30’ its radian value is?

Answer 1

Answer:

How do you write a radian measure of - 5°22' 30''?

Let, A= -5°22' 30''

Let us convert all into consistent units i.e. Degrees

1′’ = 1/(60x60)° = (1/3600)°

30″ = 30 x (1/3600) = (1/120)°

1′ = (1/60)°

22′ = 22(1/60) = (22/60)°

Therefore,

A =-[5°+(22/60)°+(1/120)°] = 5.375°

Now, 180° = π rad

Therefore, A = -5.375 (π/180) = -0.093811 rad

Ans: -0.093811 rad

Answer 2

$\frac{41\pi}{360}$

Step-by-step explanation:

20°30'=20°+30'

here 60'=1° so we can write 30'=1/2°

do LCM for 20°+1/2°

= 40+1/2

= (41/2)°

now convert into Radian

180° = π

1° = π/180

(41/2)° = π\180 × 41/2

=

$\frac{41\pi}{360}$

hope it helps❤️