A wire is in the shape of a circle of radius 7m. If the same wire is r

1.	A wire is in the shape of a circle of radius 7m. If the same wire is rebent in the shape of a square, whatwill be the measure of each side? Also find the area of the square. (Take π = 22/7)
Answer» Answer: concept used Here the concept of Perimetre and area is used. The radius of the circle is given as 7 metre. We will find the circumference of the circle. *circumference of the circle= perimetre of the square.* After equating the PERIMETERS of circle and square we will get the measure of each side of square. then, will find the area of the square FORMULA used $\bold{Circumference \: of \: circle= 2πr }$ $\bold{Perimeter \: of \: square= 4×side}$ $\bold{Area \: of \: square= side²}$ Solution Radius = 7 m $\sf{ \to \color{grey}circumference of circle = 2πr}$ $\sf{ \implies circumference \: of \: circle= 2 ×\frac{22}{7} ×7}\\ \\ \sf{ \implies \color{red}circumference\:of \:circle= 44 m}$ $\sf{ \to perimeter \: of \: square= perimetre \: of \: circle}$ $\sf{ \to perimeter \: of \: square= 44 m}$ we know that $\sf{ \to \: perimeter \: of \: square \: is \: given \: as = 4×side}$ $\sf{\implies 44=4×side}\\ \\ \sf{\implies side=\frac{44}{4}}\\ \\ \sf {\implies\color{skyblue}side=<klux>11</klux> m}$ Therefore the side of square is 11 m. $\sf{\to area\:of\:square= side²}\\ \\\sf{\implies area\:of\:square= 11²}\\ \\\sf{\implies\color{red}Area\:of\:square= 121 m².}$ Therefore the area of square is 121 m² --------------------------------------------------------

A wire is in the shape of a circle of radius 7m. If the same wire is rebent in the shape of a square, whatwill be the measure of each side? Also find the area of the square. (Take π = 22/7)

Answer»

Answer:

concept used

Here the concept of Perimetre and area is used. The radius of the circle is given as 7 metre. We will find the circumference of the circle.

circumference of the circle= perimetre of the square.

After equating the PERIMETERS of circle and square we will get the measure of each side of square.

then, will find the area of the square