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* 22. Two wires of same length are taken. One
is bent to form a square and the other is
bent to form a circle. If the area of the
circle is 132 sq cm more than the area of
the square then find the length of each wire.
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Answer:
area of circle = 132 cm²
πr² = 132
r² = 132 × 7/22
r² = 6 × 7
r² = 42 cm
r = √42 cm
circumference of circle = 2 π r
= 2 × 22/7 × √42
= 44 × √6 cm
given : Two wires of same length are taken.
so, circumference of circle = perimeter of square
44 × √6 = 4×side
11 √6 = side.
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Answer:
88cm
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