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SSC CGL Tier 2 Exam 1 Dec 2016 Paper 1
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© examsnet.com
Question : 57
Total: 100
Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square is 140 cm then area of the space enclosed between the circumference of the circle is
(
Take
π
=
22
7
)
4200 cm
2
2100 cm
2
7000 cm
2
2800 cm
2
Validate
Solution:
(1)
Radius of each circle
=
140
2
=
70
cm.
Area of the four sectors
=
π
r
2
=
22
7
×
70
×
70
= 15400 sq. cm.
Area of square = (140 × 140) sq. cm.
= 19600 sq. cm.
∴ Required area
= (19600 – 15400) sq. cm.
= 4200 sq. cm.
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