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A window is in the form of a rectangle a...


A window is in the form of a rectangle above in which there is a semi-circle. If the perimeter of the window is `P` cm. Show that the window will allow the maximum possible light only when the radius of the semi-circle is `(P)/( pi + 4) ` cm.

Text Solution

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The correct Answer is:
Area is maximum, when `x = (p)/( pi + 4)`. Hence, the radius of semi-circle is `(p)/(pi + 4)` cm
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