Math, asked by sheikhmasooda136, 7 months ago

5. 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.​

Answers

Answered by samy456
7

Step-by-step explanation:

Area of shaded region = Area of square ABCD − Area of 4 quadrants − Area of circle with diameter 2 cm

Area of square =4×4=16cm

2

Area of sector =

360

θ

×π×r

2

Area of 4 quadrants =4×

360

90

×π×1×1

=3.14cm

2

Area of circle=π×r

2

=π×1×1

=3.14cm

2

∴ Area of shaded region =16−6.28 =9.72cm

2

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