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 area, the circle or the square? `(Taken pi = (22)/(7))`

Answer 1

length of wire=44cm.
circumference of circle=>`2pir` where r is the radius of circle.
=>`2xx22/7xxr=44`
=>`r=7cm`
=>area of circle=`pir^2`=>`22/7xx7xx7=154(cm)^2`
Now the wire is bent into a square...perimeter of square=4s.
`4s=44`
`s=11cm`
Area of square=>`s^2=(11)^2=121(cm)^2`
circle has more area than square.