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45/360 x 75 x 2 x pi

 May 8, 2014

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 #3
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 May 8, 2014
 #1
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It is approximately 58.9

 May 8, 2014
 #2
avatar+1006 
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First off:

 

$${\frac{{\mathtt{45}}}{{\mathtt{360}}}} = {\frac{{\mathtt{1}}}{{\mathtt{8}}}}$$

 

$${\frac{{\mathtt{1}}}{{\mathtt{8}}}}{\mathtt{\,\times\,}}\left({\mathtt{2}}\right) = {\frac{{\mathtt{1}}}{{\mathtt{4}}}}$$

 

And then it gets a bit harder from there.

 

$${\frac{{\mathtt{1}}}{{\mathtt{4}}}}{\mathtt{\,\times\,}}{\mathtt{75}} = {\frac{{\mathtt{1}}}{{\mathtt{4}}}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{75}}}{{\mathtt{1}}}}\right)$$

 

$${\frac{{\mathtt{1}}}{{\mathtt{4}}}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{75}}}{{\mathtt{1}}}}\right) = {\frac{{\mathtt{75}}}{{\mathtt{4}}}}$$

 

So, in terms of pi, the answer can be one of the two below (depending on if asked to keep in fraction form or not)

 

$$\left({\frac{{\mathtt{75}}}{{\mathtt{4}}}}\right){\mathtt{\,\times\,}}{\mathtt{\pi}}$$

 

OR

 

$${\mathtt{18.75}}{\mathtt{\,\times\,}}{\mathtt{\pi}}$$

 

If it aska you to leave it in terms of pi, then one of the two above is your answer. However, if it is asking for a number (no pi) then go on.

 

18.75pi = 58.9048622548086232

 

Rounding, that gives 58.9, which is your final answer.

 May 8, 2014
 #3
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Thumbs UP from me, GoldenLeaf !!

CPhill May 8, 2014

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