Question

a wire of length 176 cm is first bent into a square and then in to a circle. which one will have more area. ​

Answer 1

Answer:

since, $1936\leq 2464$

area of circle is greater

Step-by-step explanation:

I st case:

=Perimeter= 4*side

$= 176= 4s\\= \frac{176}{4}=s\\= s= 44 cm$

Now, since area= (side)^2

                          $= (44)^{2}= 1936 cm^{2}$

II nd case:

$Circumference= 2\pi r\\= 176= 2\pi r\\= \frac{176}{2\pi }=r\\= 28=r$

Now since area=$\pi r^{2}$

                         = $=\pi (28)^{2} \\=\frac{22}{7}*28*28\\ = 2464 cm^{2}$