Question

How do you convert 360 degrees to radians?

Answer 1

Hint: In the given question, we have been asked to convert 360 degrees to radians. These two measurements are units of plane angle. For solving that, we are going to use the standard form of degree to radian of conversion.

Complete step-by-step answer:
We are going convert the degree to radian by using the following formula:
\[1^\circ = \left( {0.01745} \right)Rad\]
Hence, \[360^\circ = \left( {360 \times 0.01745} \right)Rad\]
Thus, \[360^\circ = 6.283\] radians.

Note: We saw that if we have been given two different measurement units whose relation we do not know, we first convert a single standard unit to each of them. Then we just divide the two things with which we will get the direct relation of the two units and then we directly solve it.