Question

How do you convert ${25^ \circ }$degrees into radian?

Answer 1

Hint:
If in the question it is not mentioned which formula, we need to use any formula but here it is mentioned that we need to find the value of a given angle in the form of radian so we will solve it by putting the value of ${1^ \circ }$.

Complete step by step solution:
Given that –
We have to find the value of $25$ degrees then
Let – $y = {25^ \circ }$
We know that in the trigonometry for changing any angle from degrees to radian we will put the value of ${1^ \circ } = \dfrac{\pi }{{{{180}^ \circ }}}$now we will put the value of ${1^ \circ }$ then we will get
$ \Rightarrow y = 25 \times \dfrac{\pi }{{{{180}^ \circ }}}$
Now after calculating all the above calculation we will get our value of ${25^ \circ }$ which is
$ \Rightarrow y = 25 \times \dfrac{\pi }{{{{180}^ \circ }}} = \dfrac{{5\pi }}{{36}}$
Now after the all multiplication we will get our value
$ \Rightarrow y = \dfrac{{5\pi }}{{36}}$

Therefore the value of ${25^ \circ }$ in the form of radian which is our required value is the $\dfrac{{5\pi }}{{36}}$.

Note:
Always remember that in the trigonometry chapter in all classes we have to remember some points and special values of angles so you can solve any question very easily and quickly compared to others.