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Marta_Voda [28]
3 years ago
8

In a circle with a radius of 6ft,an arc is intercepted by a central angle of 3π/2 radians.

Mathematics
2 answers:
Vlad1618 [11]3 years ago
6 0
9 is the correct answer
Vlada [557]3 years ago
4 0

\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\[-0.5em]
\hrulefill\\
r=6\\
\theta = \frac{3\pi }{2}
\end{cases}\implies s=6\cdot \cfrac{3\pi }{2}\implies s=9\pi

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