Question

A circular piece of thin wire is converted into a rhombus of side 11 cm find the diameter of the circular piece

Answer 1

perimeter will remain the same
the perimeter of the Rhombus will be 44 CM
similarly the perimeter of circle will be equal to the perimeter of rhombus
2PiR=44
r=7
diameter=14CM

Answer 2

hiii!!!

here's ur answer...

perimeter of rhombus=circumference of circle

given the side of the rhombus is 11cm

perimeter of the rhombus=side×4

=11×4

=44cm

therefore circumference of the circle is also 44cm.

=> 2πr=44cm

=> 2×22/7×r=44cm

=> 44/7×r=44cm

=> r=44/1×7/44

=> r=7cm

verification:-

circumference of circle=2πr

=2×22/7×7

=44cm

hence verified

thus the radius is 7cm.

therefore diameter of the circle=7×2

=14cm (as we know diameter is double of radius)

hope this helps..!