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avatar+850 

A belt is drawn tightly around three circles of radius 10 cm each, as shown. The length of the belt, in cm, can be written in the form a + b\(\pi\).What is the value of a+b?

 Jun 22, 2019
 #1
avatar+7677 
0

As shown in what?

There are no pictures!

 Jun 22, 2019
 #2
avatar+4296 
0

Picture, please?

 Jun 22, 2019
 #3
avatar+850 
+1

there

 Jun 22, 2019
 #4
avatar+7677 
+1

Length

= 3 (120/360 * 2(pi)(10)) + 6 (10)

= 60 + 20 pi

a + b = 80.

 Jun 22, 2019
 #5
avatar+4296 
+1

I will assume a drawing...The best thing to do is draw an equilateral triangle in the middle, and connect the centers of the circles with lines going to the bends and corners of the belts. This makes a circle with a radius of ten incnhes and a circumference of \(2*10\pi=20\pi\) inches. \(60+20\pi\), thus the answer, and \(a+b=80?\)

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 Jun 22, 2019

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