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If r= 1 and 0=pi/6, what is the approximate arc length?a. 1.047b. 0.524c. 0.785d. 1.571

User Carmit
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1 Answer

4 votes

2pi = 360

pi = 360/2 = 180 degrees

This means that pi/6 = 180/6 = 30 degrees

The formula for determining the length of an arc is expressed as


\begin{gathered} \text{length of arc = }\frac{\emptyset}{360\text{ }}*2\pi r \\ \text{Given that }\emptyset=\text{ 30} \\ r\text{ = 1} \\ \pi\text{ = 3.14} \\ \text{length of arc = }(30)/(360)*2*3.14*1 \\ \text{length of arc = 0.524} \end{gathered}

User Achtung
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