Question

a wire is in the form circle with radius42 cm is bend into square find the side of square​

Answer 1

Parimeter of circle =

$2\pi \: r$

Perimeter of square=

$4a$

Now

$2\pi \: r = 4a \\ a = 2\pi \: r \div 4 \\ a = 2 \times \binom{22 }{7} \times 42 \times \binom{1}{4}$

=66cm

Answer 2

$\large \underline{ \underline{ \sf \: Solution : \: \: \: }}$

Given ,

$\star \: \sf Radius = 42 \: cm \\ \star \: \sf Circumference \: of \: circle = perimeter \: of \: square$

We know that ,

$\large \fbox{ \fbox{ \sf \: Circumference \: of \: circle = 2πr \: \: \: }}$

$\to \sf Circumference \: of \: circle = 2 × \frac{22}{7} × 42 \\ \\ \to \sf Circumference \: of \: circle =44 \times 6 \\ \\ \to \sf</p><p>Circumference \: of \: circle = 264 \: cm$

Then ,

$\sf \to Perimeter \: of \: square = 264 \: cm \\ \\ \sf \to</p><p>4s = 264 \\ \\ \sf \to</p><p>s = 66 \\ \\ \sf \to </p><p>side = 66 \: cm$

$\therefore$The side of the square is 66 cm