Question

A wire is in the shape of a rectangle. it's length is 40 cm and breadth is 22 cm. if the same wire is rebent in the shape of a square and then into a circle, find : a) side of square b) radius of circle

Answer 1

length of the wire=Perimeter of rectangle
=2(l+b)
=2(40+22)
=2×62
=124 cm
Same wire is rebent into square
=> perimeter of square=length of the wire
4×side=124
$side = \frac{124}{4}$
side=31 cm
=> Side of the square is 31 cm

Note the wire is rebent into circle
=>circumference of the circle=length of the wire
2πr=124
2×(22/7)×r=124
r=(124×7)/(2×22)=19.7 appro
radius of the circle is 19.7 cm