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Arc AC is a quarter-circle with center B . The shaded region ABC is "rolled" along a straight board PQ until it reaches its original orientation for the first time with point B landing at point B'. If BC=2/pi cm, what is the length of the path that point B travels? Express your answer in the simplest form.
 

 Sep 4, 2020
 #1
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The length of the path is 4*sqrt(7).

 Sep 4, 2020
 #2
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I DON'T TRUST ANSWERS THAT DON'T SHOW THE WORK.  THEY'RE USELESS TO ME. 

Guest Sep 4, 2020
 #3
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Arc AC is a quarter-circle with center B. The shaded region ABC is "rolled" along a straight board PQ until it reaches its original orientation for the first time with point B landing at point B'. If BC=2/pi cm, what is the length of the path that point B travels? Express your answer in the simplest form.

 

BC = 2/pi cm       (radius of the circle)

 

The length of the arc L is         L = [ 2( 2/pi )] * pi / 4       L = 1 cm

 

The length of the path that point B travel is  3L  or  3 cm

 Sep 4, 2020
edited by jugoslav  Sep 4, 2020
edited by jugoslav  Sep 4, 2020

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