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 : (1)side of square (2) radius of circle.

Answer 1

Answer:

Step-by-step explanation:

as the length=40cm

and breadth=22cm

therefore perimeter=2(l+b)

=2(40+22)

=2×62

=124cm

we will take square first

as the length of the wire remains same perimeter remains same.

therefore perimeter of square=124cm

p=4×side

4s=124

s=124/4

s=31

therefore side of square is 31cm

now lets take the circle

perimeter of circle is also known as circumference.

let radius be x

formula for c= 2×pi×radius

=2×22/7×x

124(circumference)=2×22/7×x

124=(44×x)/7

44×x=124×7

44x=868

x=868/44

x=19.7272

therefore radius=19.7272cm