Both circle A and circle B have a central angle measuring 140°. The ratio of the radius of circle A to the radius of circle B is 2 3 . If the length of the intercepted arc for circle A is 3 4 π, what is the length of the intercepted arc for circle B?

Let  rA--------> radius of the circle A rB-------> radius of the circle B LA------> the length of the intercepted arc for circle A LB------> the length of the intercepted arc for circle B   we have that rA/rB=2/3--------> rB/rA=3/2 LA=(3/4)π   we know that if Both circle A and circle B have a central angle , the ratio of the radius of circle A to the radius of circle B is equals to the ratio of the length of circle A to the length of circle B rA/rB=LA/LB--------> LB=LA*rB/rA-----> [(3/4)π*3/2]----> 9/8π  the answer is the length of the intercepted arc for circle B is 9/8π