Question

What is the equivalent of pi over 3 radians in degrees?

Answer 1

$\bf \begin{array}{ccllll} radians&d e grees\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \pi &180\\ \frac{\pi }{3}&d \end{array}\implies \cfrac{\pi }{\frac{\pi }{3}}=\cfrac{180}{d}\implies \cfrac{\frac{\pi }{1}}{\frac{\pi }{3}}=\cfrac{180}{d} \\\\\\ \cfrac{\pi }{1}\cdot \cfrac{3}{\pi }=\cfrac{180}{d}\implies 3=\cfrac{180}{d}\implies d=\cfrac{180}{3}$

and pretty sure you know how much that is.

Answer 2

Answer:  The equivalent expression in degrees is 60°.

Step-by-step explanation:  We are given to find the equivalent of the following expression in degrees.

$E=\dfrac{\pi}{3}~\textup{radians}.$

We will be using the UNITARY method the solve the given problem.

We know that

$\pi~\textup{radians}=180^\circ\\\\\\\Rightarrow 1~\textup{radian}=\left(\dfrac{180}{\pi}\right)^\circ\\\\\\\Rightarrow \dfrac{\pi}{3}~\textup{radians}=\left(\dfrac{\pi}{3}\times\dfrac{180}{\pi}\right)^\circ=60^\circ.$

Thus, the equivalent expression in degrees is 60°.