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Question

The following figure shows a square cardboard ABCD of side 28 cm. Four identical circles of the largest possible size are cut from this card as shown below.
Find the area of the remaining cardboard.
197325_acea3e2d8c3d406d9d139df2b81982f6.png
  1. 168 cm2
  2. 158 cm2
  3. 148 cm2
  4. 138 cm2

A
168 cm2
B
148 cm2
C
138 cm2
D
158 cm2
Solution
Verified by Toppr

Let the radius of each circle be r.

Then,
4r=28 cm
r=7 cm

Therefore,
Area of 4 circle =4×π(7)2
=4×227×7×7
=616 cm2

Area of square =282
=784 cm2

Area of remaining cardboard = Area of square Area of 4 circles
=784616
=168 cm2

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