What is the length of the intercepted arc EG ?

Answer:
the length of the arc EG = 15.7 feet
Step-by-step explanation:
∵m∠EOG = 60°
∵ measure circle 360°
∴ [tex]\frac{60}{360}=\frac{1}{6}[/tex]
∴ The length of the intercepted arc EG is 1/6 the length of the circle
∵Length circle = 2 π r
∴ Length arc EG = [tex]\frac{1}{6}[/tex] × 2 × 3.14 × 15 = 15.7 feet