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Elizkatbri
Elizkatbri Elizkatbri
  • 21-03-2016
  • Mathematics
Answered

The circumference of the circle in the above figure is 128 ft. What is the length of AB?

Verified Answer :

W0lf93
W0lf93 W0lf93
  • 18-04-2017

The circumference of the sircle is: C = 128 ft. The central angle of the arc AB is 45 degrees. Therefore it takes 1/8 of the circumference: AB = 1/8 128 = 16 ft. Also C = 2 r Pi and the length of an arc is : L = r Pi Alpha / 180 degrees. It means that L= C / 2 45 / 360 = 16 ft. Answer: The length of AB is 16 ft. Hope this helps. Let me know if you need additional help!

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