From each corner of a square of side 4 c.m , a circle of diameter 2 c.m is cut as shown in the figure below. Find the area of the remaining portion of the square
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Answer:
For this you need to subtract area of 4 quadrants from area of square as there are 4 circles and only a quadrant is inside the square of each circle.
Step-by-step explanation:
given that side of square is 4cm.
So area of square = a^2=16cm^2
Diameter of circle =2cm.
Radius of circle =1cm
Area of quadrant = 90 × 22 ×1×1
360. 7
=1 × 22 ×1×1 = 11
4. 7. 14
Area of 4 quadrants = 11 × 4 = 22
14. 7
Area of remaining portion = area of square-area of 4 quadrants
=16-22 = 16-3.14 = 12.86cm^2 ANS
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