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.

Guest Sep 4, 2020

#3**+4 **

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

jugoslav Sep 4, 2020