Question

How do you convert 8 radians into degrees?

Answer 1

Here in the given question we need to do unit conversion, here radian and degree both are used to measure the value of angles in geometry, and both the units are used accordingly. Here to convert the given value from radian to degree we need to use the standard value of conversion which says:
$\Rightarrow radian = \left( {\dfrac{\pi }{{180}}} \right)\text{degree}$
Formulae Used: To convert degree value into radian we use:
$\Rightarrow radian = \left( {\dfrac{\pi }{{180}}} \right)\text{degree}$

Complete step-by-step solution:
Here in the above given question we need to find the given value of degree into radian for which we need to see the standard conversion from degree to radian, on solving by the formulae we get:

$$\Rightarrow radian = \left( {\dfrac{\pi }{{180}}} \right)\deg ree \\\ \Rightarrow radian = \left( {\dfrac{\pi }{{180}}} \right) \times 8 = \dfrac{{3.14}}{{180}} \times 8 = 0.0174 \times 8 = 0.1395 \\\$$

Here we get the converted value into radians.

Note: Unit conversion method needs to be applied on the question by using the formulae for the conversion of unit value, then on multiplying the given value in the question we can get the required converted value, here also we know the unit value of radian into degrees, using that value we find the value required in the question.