Question 45

If from a square of side 150 cm. A quarter of radius 14 cm is cut from each of the four corners, then find the remaining area.

Solution

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The total area of square $$=\ S^2\ =\ \left(150cm\right)^2\ =\ 22500cm^2$$

The area of the parts cut from the edges $$=\ 4\ \times\ \dfrac{1}{4}\ \times\ \dfrac{22}{7}\ \times\ \left(14cm\right)^2\ =\ 22\ \times\ 14\ \times\ 2\ =\ 616\ cm^2\ $$

Area remaining $$=22500-616=21884\ cm^2$$

Hence, the correct answer is option C.

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