Answer:
Step-by-step explanation:
The length of semicircles:
- C = 2πr - full circle, the first one is half of this with r = 1, so it is π
The sequence is:
This is an infinite GP with the first term of π and common ratio 1/2.
The sum of the lengths of the semicircles is the sum of this sequence:
- S = a / (1 - r)
- S = π/(1 - 1/2) = π /(1/2) = 2π
