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Elena-2011 [213]
2 years ago
13

Convert 153 degrees into radians to the nearest to decimals places

Mathematics
1 answer:
STatiana [176]2 years ago
6 0
Since we know there are π radians in 180°, then how many radians are there in 153°?

\bf \begin{array}{ccll}
radians&de grees\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\pi &180\\
x&153
\end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{153}\implies \cfrac{\pi \cdot 153}{180}=x\implies \stackrel{simplified}{\cfrac{17\pi }{20}}=x
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