Question

What is $\dfrac{11\pi }{6}$ radians in degrees?

Answer 1

Hint: Here in this question we have been asked to convert the given angle $\dfrac{11\pi }{6}$ from radians to degrees for answering this question we will use the concept of angles which says that the value of $\pi $ in radians will be equal to the measure of a straight line angle in degrees that is ${{180}^{\circ }}$ .

Complete step by step solution:
Now considering the question we have been asked to convert the given angle $\dfrac{11\pi }{6}$ from radians to degrees.
 From the basic concepts of the angles we know that the value of $\pi $ in radians will be equal to the measure of a straight line angle in degrees that is ${{180}^{\circ }}$ .
Now by using this we will have $\dfrac{11\times {{180}^{\circ }}}{6}$ .
Now by further simplifying this expression we will end up having $11\times {{30}^{\circ }}$ .
Now we can write this expression more simply as ${{330}^{\circ }}$ .
Therefore we can conclude that the value of the given angle $\dfrac{11\pi }{6}$ radians in degrees will be ${{330}^{\circ }}$.

Note: This is a very simple and easy question and can be answered accurately in a short span of time. Very few mistakes are possible in questions of this type. In the process of answering questions of this type we should be sure with the calculations that we are going to perform in between. Someone can make a calculation mistake and consider $\dfrac{11\times {{180}^{\circ }}}{6}=11\times {{60}^{\circ }}= {{660}^{\circ }}$ this as which will lead them to end up having a wrong conclusion.