MathematicsIf the area of a semi-circular field is 15400 m2, then perimeter of the field is

If the area of a semi-circular field is 15400 m2, then perimeter of the field is


  1. A
    160 2  m  
  2. B
    260 2 m  
  3. C
    360 2  m  
  4. D
    460 2  m   

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    Solution:

    Given,
    Area of a semi-circular field is 15400 m 2  .
    The area of the field can be used to determine the field's radius, which can then be used to determine the field's perimeter.
    Let r be the semi-circular field's radius.
    The area of a semi-circular field = Half the area of a circular field.
    We know that,
    Area of a semicircle = π r 2 2  .
     We also know that perimeter of semicircle, P =πr+2r  .
    ⇒P=πr+2r ⇒P= 22 7 r+2r ⇒P= 36 7 r ⇒P= 36 7 ×70 2  m ⇒P=360 2  m  
    Hence, the perimeter of the field is 360 2  m  .
    Therefore, option 3 is correct.
     
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