3 years ago

What is the exact radian measure of an angle of 132

1 answer:

6 0

Since we know that in π radians there are 180°, thus how many radians in 132°?

$\bf \begin{array}{ccll}
de grees&radians\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
180&\pi \\
132&x
\end{array}\implies \cfrac{180}{132}=\cfrac{\pi }{x}\implies x=\cfrac{132\cdot \pi }{180}\implies \stackrel{simplified}{\cfrac{11\pi }{15}}$

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