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Identify the arc length of MA in terms of pi and rounded to the nearest hundredth.

Identify the arc length of MA in terms of pi and rounded to the nearest hundredth-example-1
User Binil Surendran
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1 Answer

16 votes
16 votes

To answer this question we will use the following formula for the arc length of a central angle θ degrees:


\begin{gathered} (\theta)/(180)\cdot\pi r, \\ \text{where r is the circumference's radius.} \end{gathered}

Assuming that Y is the circumference's center we get:


m\hat{AM}+m\hat{MH}=180^(\circ).

Substituting mMH=88degrees we get:


m\hat{AM}+88^(\circ)=180^(\circ)\text{.}

Therefore:


\text{m}\hat{\text{AM}}=92^(\circ)\text{.}

Then the arc length of MA is:


(92)/(180)\cdot\pi\cdot16m\approx8.18\pi m\approx25.69m\text{.}

Answer: First option.

User Bristweb
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