MathematicsIf a circular grass lawn of 35m in radius has a path 7 m wide running around it on the outside, then what’s the area of the path?

If a circular grass lawn of 35m in radius has a path 7 m wide running around it on the outside, then what’s the area of the path?


  1. A
    1450 m2
  2. B
    1576 m2
  3. C
    1694 m2
  4. D
    3368 m2  

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    Solution:

    We have been given,
    Radius (r) = 7cm.
    Radius (R) = 35cm.
    Using the given information,
    The radius of bigger circle (with the path) is a circular grass lawn + Path running around the grass lawn.
    Substituting the values,
    ⇒35+7=42 m
    Area of the path =Area of bigger circle -Area of smaller circle
    ⇒π(R)2-π(r)2
    Substituting the values,
    ⇒π(42)2-π(35)2
    ⇒227×42+3542-35
    ⇒22×77
    ⇒1694 m2 Thus, the area is 1694 m2.
    Hence, option 3 is correct.
     

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