Question

Perimeter and Area M-25 7. A wire is in a circular shape of area 5544 cm. If the same wire is bent in the shape of a square, find the length of a side of the square and its area.
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Answer 1

$\huge \sf \red {\underline {Appreciate \: Question :-}} </p><p></p><p>$

• A wire in a Circular. Shape of Area 5544 cm. if the Same wire is bent in the shape of a Square , Find the length of a side of the square and it's Area. . . ??

$\huge \sf \red {\underline { Solution \: -}} </p><p></p><p>$

The wire is in Circular shape and and has Area = 5544 CM

$\begin{gathered}\large{\color{cyan}{\bigstar}} \: \: {\underline{\boxed{\red{\sf{lets \: radius = r \: cm }}}}} \end{gathered}$

$\sf \: \\ \pi \: r {}^{2} = 5544 \: cm \: \: \: ⟼r {}^{2} = 1764 \\ ⟼r = 42$

Length of the Wire = 2πr CM

$\\ = 2 \times \frac{22}{7} \times 42 \: cm \\ = 264 \: cm$

perimeter of the Square = 264 CM .

A Side of the Square =

$\\ = \frac{264}{4} = 66 \: cm$

The area of the Square =(66)² Cm²

= 4356 Cm².