Question

convert 50°30'20"into radian​

Answer 1

180°50°

3.6

180°÷30°

6

180°÷20°

9

Answer 2

Concept:

For this question we need few conversion.

$radians= degree\times \frac{\pi }{180}$

1°= 60 min

1 = 3600 sec

Given:

The value of degree min and sec is given 50°30'20''

To find:

The given value in radians.

Solution:

The given can be written as

50°+30'+20"                   -----------(1)

Lets first convert min in degree

30'=$\frac{1}{60}\times 30$=0.5°               ----------------(2)

then sec in degree

$20''=\frac{1}{3600}\times 20=0.0056$             -------------------(3)

Substituting equation (2) and (3) in (1)

50+0.5+0.0056

⇒50.5056°

Now converting degrees in radians is

⇒50.5056×$\frac{\pi }{180}$

⇒$50.5056\times \frac{3.14}{180} =0.881 rad$

Therefore the value is 0.881 rad