MathematicsThe area of the largest circle that can be drawn inside a rectangle of length a cm   and breadth b cm  , where a>b   is ____ cm 2  .

The area of the largest circle that can be drawn inside a rectangle of length a cm   and breadth b cm  , where a>b   is ____ cm 2  .


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    Solution:

    The area of the largest circle that can be drawn inside a rectangle of length and breadth , where is π b 2 4  .
    Given,
    A circle drawn inside a rectangle of length a cm   and breadth b cm  , where a>b  .
    Here, the diameter of the circle is equal to the width of the rectangle.
    So,
    2r=b r= b 2  
    Now, the area of the circle is given by A=π r 2  .
    Put r= b 2   in A=π r 2  .
    We get,
    A=π r 2 A=π b 2 2 A= π b 2 4  
    Therefore, the correct answer is π b 2 4  .
     
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