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UPSC CDS Math Area and Perimeter Questions
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© examsnet.com
Question : 49
Total: 116
What is the area of the region bounded internally by a square of side of length ‘a’ and externally by a circle passing through the four comers of the square ?
[2018 CDS-I]
(
π
−
1
)
a
2
square units
(
π
−
1
)
a
2
2
square units
(
π
−
2
)
a
2
square units
(
π
−
2
)
a
2
2
square units
Validate
Solution:
Required area = Area of circle – Area of square
=
π
(
a
√
2
)
2
−
a
2
=
(
π
−
1
)
a
2
2
Square units
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