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Grade 11Magical Mathematics[Interesting Approach]

18. Julie works at the amusement park with the maintenance crew. She needs to replace a string of burnedout lights along the arc shown between seat 1 and seat 6. The arc makes up 1/4 of the Gaint Wheel. The 20 seats of the wheel are equally spaced, and the supports from the center of the wheel to each seat are 15 feet in length. How long, to the nearest foot, does the string of replacement lights need to be? Seat 6 15 feet Seat 1 Gaint Wheel (A) 24 feet (B) 30 feet (C) 47 feet (D) 90 feet

Profile image of rajat agarwal
16 Years agoGrade 11
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1 Answer

Profile image of Ramesh V
16 Years ago

Here the arc is quarter of giant wheel

radius is 15 feet

so perimeter of 1/4th wheel which is length of arc is = Pi.*15 /4 = 24 feet

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regards

Ramesh