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From each corner of a square of side {4} cm a quadrant of a ci

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From each corner of a square of side $4$ cm a quadrant of a circle of radius $1$ cm is cut and also a circle of diameter $2$ cm is cut as shown in Fig. 12.23. Find the area of the remaining portion of the square.

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From each corner of a square of side

4

cm a quadrant of a circle of radius

1

cm is cut and also a circle of diameter

2

cm is cut as shown in Fig. 12.23. Find the area of the remaining portion of the square.

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Text solutionVerified

Solution: Remaining area= Area of Square-2 area of circle
=

4 \cdot 4 - 2 (π r^{2})

16 - 2 \cdot \frac{22}{7} \cdot 1^{2}

=6817

c m^{2}

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Question Text	From each corner of a square of side $4$ cm a quadrant of a circle of radius $1$ cm is cut and also a circle of diameter $2$ cm is cut as shown in Fig. 12.23. Find the area of the remaining portion of the square.
Answer Type	Text solution:1
Upvotes	150