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Byju's Answer
Standard X
Mathematics
Areas of Different Plane Figures
A circle is i...
Question
A circle is inscribed in a square of side 14 m. The ratio of the area of the circle and that of
the square is
(a)
π
: 3 (b)
π
: 4 (c)
π
: 2 (d)
π
: 1
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Solution
Let a and r be the side of the square and radius of the circle respectively.
Here, the diameter of the circle is equal to the side of the square. So
Diameter of circle = 2r = a
Therefore
Area
of
circle
Area
of
square
=
π
r
2
a
2
=
π
×
r
2
2
r
2
=
π
4
Hence, the correct option is (b).
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