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How do you find the linear measure of a arc?  Here is an example:)

 Jul 11, 2014

Best Answer 

 #1
avatar+33266 
+10

The whole circumference is given by 2*pi*25.  The shorter arc length from B to C is the fraction 144/360 of the whole circumference (because there are 360° needed to go all the way around the circumference, and you just want to go 144° around), namely:

$${\frac{{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{25}}{\mathtt{\,\times\,}}{\mathtt{144}}}{{\mathtt{360}}}} = {\mathtt{62.831\: \!853\: \!071\: \!795\: \!864\: \!8}}$$

or ≈ 62.8

 Jul 11, 2014
 #1
avatar+33266 
+10
Best Answer

The whole circumference is given by 2*pi*25.  The shorter arc length from B to C is the fraction 144/360 of the whole circumference (because there are 360° needed to go all the way around the circumference, and you just want to go 144° around), namely:

$${\frac{{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{25}}{\mathtt{\,\times\,}}{\mathtt{144}}}{{\mathtt{360}}}} = {\mathtt{62.831\: \!853\: \!071\: \!795\: \!864\: \!8}}$$

or ≈ 62.8

Alan Jul 11, 2014

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