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Question


The radius of the circle given above is 7 cm and the angle subtended by the arc is 60. If the area of OAB is 21cm2, then the area of segment APBA is___ .[Take the value of π as 227]


  1. 5.8 cm2

  2. 4.7 cm2

  3. 8 cm2

  4. 1 cm2


Solution

The correct option is B

4.7 cm2



Area of sector OAPB=60360×πr2=60360×227×72=25.7 cm2Area of segment APB = Area of sector OAPB - Area of triangle OAB=25.721=4.7 cm2

Therefore, area of segment APB=4.7 cm2

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