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The radius of a circle is 1 inch. What is the length of a 135° arc?

 Apr 1, 2015

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 #1
avatar+118609 
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The radius of a circle is 1 inch. What is the length of a 135° arc?

 

Well the circumference is   $$2\pi*r = 2\pi*1 = 2\pi \;\;inches$$

 

but that would be if you have all 360 degrees, you only have 135 degrees.  Mmm

So it must be

 

$$arc\;length= \frac{135}{360}*2\pi\;\;inches$$

 Apr 1, 2015
 #1
avatar+118609 
+5
Best Answer

The radius of a circle is 1 inch. What is the length of a 135° arc?

 

Well the circumference is   $$2\pi*r = 2\pi*1 = 2\pi \;\;inches$$

 

but that would be if you have all 360 degrees, you only have 135 degrees.  Mmm

So it must be

 

$$arc\;length= \frac{135}{360}*2\pi\;\;inches$$

Melody Apr 1, 2015

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