In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7Ο4 radians. What is the arc length? Use 3.14 for Ο . Enter your answer as a decimal in the box.
Question
Answer:
[tex]\bf \textit{arc's length}\\\\
s=r\theta \quad
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
r=6\\
\theta =\frac{7\pi }{4}
\end{cases}\implies s=6\cdot \cfrac{7\pi }{4}\implies s=\cfrac{21\pi }{2}[/tex]
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10 months ago
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