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meriva
2 years ago
15

Convert the angle 3pi/5 radians to degrees

Mathematics
1 answer:
Artyom0805 [142]2 years ago
8 0

well, we know that π is 180°, so then what is 3π/5?

\begin{array}{ccll} radians&degrees\\ \cline{1-2} \pi &180\\ \frac{3\pi }{5}&x \end{array}\implies \cfrac{\pi }{~~ \frac{3\pi }{5}~~}~~ = ~~\cfrac{180}{x}\implies \cfrac{5\pi }{3\pi }=\cfrac{180}{x} \\\\\\ \cfrac{5}{3}=\cfrac{180}{x}\implies 5x=540\implies x=\cfrac{540}{5}\implies x=108

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