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  • 15-02-2019
  • Mathematics
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What is the length of the intercepted arc EG ?

What is the length of the intercepted arc EG class=

Respuesta :

Ashraf82
Ashraf82 Ashraf82
  • 15-02-2019

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

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