The following figure shows a square cardboard ABCD of side 28cm. Four identical circles of the largest possible size are cut from this card as shown below. Find the area of the remaining cardboard.
168cm2
158cm2
148cm2
138cm2
A
168cm2
B
148cm2
C
138cm2
D
158cm2
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Solution
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Let the radius of each circle be r.
Then,
4r=28cm
r=7cm
Therefore, Area of 4 circle =4×π(7)2
=4×227×7×7
=616cm2
Area of square =282
=784cm2
Area of remaining cardboard = Area of square − Area of 4 circles
=784−616
=168cm2
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