Question

convert the angle 22 degree 30 minute into radian​

Answer 1

here firstly we convert minute into hour by dividing 30 by 60

then as we know that

1° =πç/180

by using this we will get our answer in radian

Answer 2

The angle 22 degree 30 minute in radian is $\frac{\pi}{8}$

Solution:

We have to convert the angle 22 degree 30 minute into radian

We know that, 1 degree = 60 minutes

Therefore 22 degree 30 minute = 22 + (30÷60) degree

$=22+\left(\frac{30}{60}\right)=\frac{45}{2} \text { degree }$

Now lets convert $\frac{45}{2}$ degree to radian

$\begin{array}{l}{\text { Radian }=\frac{\pi}{180} \times \text { Degree Measure }} \\\\ {\text { Radian }=\frac{\pi}{180} \times \frac{45}{2}} \\\\ {\text { Radian }=\frac{\pi}{180} \times \frac{45}{2}=\frac{\pi}{8}}\end{array}$

Hence the angle 22 degree 30 minute in radian is $\frac{\pi}{8}$

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