Question

Question #c256e

Answer 1

Let the lengths of 1st and 2nd arcs be `A_1 and A_2 subtending angles (7pi)/6 and (3pi)/2` at the center of the circle respectively.

So `A_1/R=(7pi/6) and A_2/R=(3pi)/2`,where `R` represents radius.

So length of the arc between the angles is

`A=A_2-A_1=R((3pi)/2-(7pi)/6)`

`=2((9pi-7pi)/6)=(2pi)/3`unit