Answer:
11.33 in. Β to the nearest hundredth.
Step-by-step explanation:
The perimeter of the shaded area = Β length of the 2 straight lines + the length of the 2 arcs = 4 + length of the 2 arcs.
Calculate the length of the outer arc:
This equals (30 / 360) * perimeter of the largest circle
= 1/12 * 2 Ο * 8
= 4/3 Ο in.
The inner circle has a radius of Β 8 - 2 = 6 ins
so the length of the inner arc
= 1/12 * Ο * 2 * 6
= Ο in.
So the perimeter of the shaded region = 4 + 4/3 Ο + Ο
= 4 + 7Ο/3
= Β 11.33 in.
