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What is the arc length of this sector? , and What is the arc length of this sector?

What is the arc length of this sector? , and What is the arc length of this sector-example-1
User Wiero
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1 Answer

11 votes
11 votes

The arc length formula is given by:


L=\theta\cdot r

Where θ is the central angle and r is the radius. From the problem, we identify:


\begin{gathered} \theta=(\pi)/(2) \\ \\ r=7\text{ m} \end{gathered}

Then, using the formula:


\begin{gathered} L=(\pi)/(2)\cdot7 \\ \\ \therefore L=(7\pi)/(2)\text{ m} \end{gathered}

User Egbert
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