MathematicsA sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240°. If another circle of the area same as the sector is formed, the radius of the circle of the new radius is

A sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240°. If another circle of the area same as the sector is formed, the radius of the circle of the new radius is



  1. A
    79.5 cm
  2. B
    81.3 cm
  3. C
    83.4 cm
  4. D
    88.5 cm 

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    Solution:

    Let r be the radius of the new circle, then
    Therefore, the radius of the new circle is 81.3 cm.
    So, option 2 is correct.
     
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