# find the radian measure corresponding to 5°37' 30"

## Answers

Answered by

177

Our angle is = 5° 37' 30"

For 30''

We know

So, 30'' = 1/60 * 30 = 0.5'

So our angle will be = 5° 37.5'

Now we know,

So, 37.5' = 1/60 * 37.5 = 0.625°

So our angle is = 5.625°

To convert the angle into radians, we know

So, 5.625° = 5.625 x π/180

Taking π as 3.14, we get

5.625 x 3.14 / 180 =

For 30''

We know

**1' = 60''**So, 30'' = 1/60 * 30 = 0.5'

So our angle will be = 5° 37.5'

Now we know,

**1****° = 60'**So, 37.5' = 1/60 * 37.5 = 0.625°

So our angle is = 5.625°

To convert the angle into radians, we know

**1****° = π / 180 radians**So, 5.625° = 5.625 x π/180

Taking π as 3.14, we get

5.625 x 3.14 / 180 =

**0.098125 radians**
Answered by

97

**Hello Dear.**

**We know that , 1' = 60''**

**∴ 1'' = 1/60'**

**∴ 30'' = 30 / 60'**

**= 0.5'**

**∴ 5°37' 30'' = 5° 37' 0.5'**

**= 5°37.5'**

**Then,**

**1' = 1/60°**

**∴ 37.5' = 37.5/60°**

**=0.625°**

**Thus, 5°37'30'' = 5°+0.625°**

**⇒5.625°**

**Now,**

**360°= 2π rad.**

**1° =π/180 rad.**

**∴ 5.625° = 5.625π /180 rad.**

**= [ 5.625 ×(22/7) ] / 180 rad.**

**= 17.68 /180 rad**

**= 0.09821 rad.**

**=9.821 × 10⁻² rad.**

**Hope it helps.**

**Have a nice day :-)**

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