What is the arc length of a semicircle if the diameter is 10?

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What is the arc length of a semicircle if the diameter is 10?

Please help me with this! I have tried and tried and just couldn't get the answer! PLEASE HELP ME!!! DX

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Answer 1 · 2018-03-19T23:59:29

$15.71$ $15.71$

Explanation:

The arc length of a circle has it's own formula:

$\frac{m^{\circ}}{360^{\circ}} π d$ $m^@/(360^@)pid$

$m^{\circ} = angle measure of arc$ $m^@ = "angle measure of arc"$
$d = diameter$ $d = "diameter"$

Since this is a $semicircle$ $"semicircle"$ , the angle measure of the arc is going to be $180^{\circ}$ $180^@$ . And they said that the diameter is $10$ $10$ , so we can update the formula:

![http://www.mathcaptain.com/geometry/http://arc-of-a-circle.html](https://useruploads.socratic.org/1htegNALRieehQMNICvQ_dis.jpg)

$\frac{m}{360} π d$ $(m)/(360)pid$

$\frac{180}{360} π (10)$ $180/360pi(10)$

$0.5 π 10$ $0.5pi10$

$5 π$ $5pi$

Use your calculator to find the value of $5 π$ $5pi$ or use the number $3.1415927$ $3.1415927$ for $π$ $pi$ if you have to do it manually.

$5 π = 15.71$ $5pi = 15.71$

So the arc measure of the semi circle is $15.71$ $15.71$

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What is the arc length of a semicircle if the diameter is 10?

Please help me with this! I have tried and tried and just couldn't get the answer! PLEASE HELP ME!!! DX

1 Answer

Explanation:

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