MathematicsA ceiling fan has three wings as shown in the figure. Find the length of arc described between two consecutive wings, where the length of each wing is 0.98 m.

A ceiling fan has three wings as shown in the figure. Find the length of arc described between two consecutive wings, where the length of each wing is 0.98 m.


  1. A
    2.053 m
  2. B
    2.500 m
  3. C
    2.350 m
  4. D
    3.250 m 

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    Solution:

    Given,
    Radius of the circle = length of a wing =0.98m.
    There are 3 such similar angles around the center of the fan,
    3θ= 360 ° θ= 120 °   Length of the arc between 2 wings:
    l= θ 360 ° 2πr ⇒l= 120 ° 360 ° ×2× 22 7 ×0.98 ⇒l=2.053 m  
    Hence, the length of the arc between 2 wings is 2.053 m.
    Therefore, option 1 is correct.
     

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