Question

A wire, when bent in the form of a square, encloses a region of area 1089 cm2 . if the same wire is bent into the form of a circle, then the area of the circle is

Answer 1

$\textbf {Hey there, here is the solution.}$
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Area of the square = 1089 cm² (Given)

.

Find the length:

Area = Length x Length

Area = Length²

Length² = Area

Length = √Area

Given that area = 1089 cm²

Length = √1089

Length = 33 cm

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Find the perimeter of the square:

Perimeter = 4 x Length

Perimeter = 4 x 33

Perimeter = 132 cm

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Find the radius:

Circumference = Perimeter of the square = 132 cm

Circumference = 2πr

132 = 2πr

r = 132 ÷ 2π

r = 21 cm

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Find the area:

Area = πr²

Area = π(21)²

Area = 1386 cm²

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Answer: Area = 1386 cm²
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⭐$\textbf {Cheers @ Simmisai}$⭐