Question

Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more 22 area, the circle or the square? (Take π=22/7)
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Answer 1

Answer: area of circle enclose more than of square

Step-by-step explanation:

Circle

:- here the wire's length is the perimeter of the circle

Perimeter of the circle = $2\pi r$

$2\pi r$=44

$\pi r= 44/2=22\\ r= 22*7/22\\ = 7cm$

r= 7cm

area of the circle= $\pi r^{2}$

                            =$\pi$$*r^{2}$

                            = $\pi *7^{2}$

                           = $49*\pi$

                            = 49*22/7

                           = 154$cm^{2}$

In the case of square

there is no difference in perimeter

Perimeter of the square=4*side

44= 4*side

one side=44/4

               =11cm

Area of square= $a^{2}$

                        =11^2

                        =121$cm^{2}$

therefore, more area is taken over by the circle

area of circle =154$cm^{2}$> area of sqaure=121$cmx^{2}$