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

User Pachanga
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2 Answers

1 vote

\bf \begin{array}{ccllll} radians&d e grees\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \pi &180\\ (\pi )/(3)&d \end{array}\implies \cfrac{\pi }{(\pi )/(3)}=\cfrac{180}{d}\implies \cfrac{(\pi )/(1)}{(\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.
User Joecop
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4 votes

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=(\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((180)/(\pi)\right)^\circ\\\\\\\Rightarrow (\pi)/(3)~\textup{radians}=\left((\pi)/(3)*(180)/(\pi)\right)^\circ=60^\circ.

Thus, the equivalent expression in degrees is 60°.

User Joe Cartano
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