Good morning
The circumference of a circle is 100 cm. The side of a square inscribed in the circle is
(a) 50√2 cm (b) 100/π cm (c) 50√2/π cm (d) 100√2/π cm
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Explanation:
Correct option is (a)
50√2
cm
Circumference =100 cm
Let radius of circle be r cm
Now, 2πr=100
r=
2π
100
=
π
50
Diagonal of square = Diameter of circle =2r=
π
100
Let the side of the square =a cm
Now, diagonal of square =
a
2
+a
2
=
2
a
⇒
π
100
=
2
a
⇒a=
2
π
100
⇒a=
2π
100
2
⇒a=
π
50
2 cm
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