Postal or Sorting Assistants Model Paper 3 With Solutions

Question : 24 of 100

Marks: +1, -0

Four circular cardboard pieces each of radius 7 cm are placed in such a way that each piece touches the two other pieces. The area of the space enclosed by the four pieces is

$21 cm^2$
$42 cm^2$
$84 cm^2$
$168 cm^2$

Validate

Solution:

Area of space enclosed by the circles
= Area of square of side 14 cm
- 4 (Area of quardrant of radius 7 cm)
=

(14)^2-4x1/4×22/7×7×7

=196-154=42 cm^2

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