Question

if a wire of 440 m length is moduled in the form of a circle and a square turn by turn find the ratio of the area of the area of the circle to that of square

Answer 1

heya!

here's ur answer...

perimeter of square=circumference of circle

if the length of the wire is 440m and then it's moduled in the shape of square then the perimeter of square will be also 440m

we know that square have 4 sides of equal length.

therefore side×4=440m

→side=440/4

→side=110m

hence, the side of the square is 110m.

area of the square=side×side

=110×110

=12100m²

circumference of the circle is also 440 as the same wire is used to make the circle.

→2πr=440m

→2×22/7×r=440m

→44/7×r=440m

→r=440/1×7/44

→r=70cm

area of the circle=πr²

=22/7×70×70

=22×10×70

=15400cm²

ratio of their areas:

circle's area: square's area

→15400:12100

→7700:6050

→3850:3025

→770:605

→154:121

hope this helps u..!