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

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

A 28 cm

B 3.5 cm

C 7 cm

D 14 cm

Solution

Correct Answer: Option D

Circular piece is 4 x 11 = 44 cm long,

Then Circumference of circle is given by,

44 = pi x D, where D is the diameter

D = 44 / pi

Take pi = 22 / 7, then

D = 44 / (22/7) = (44 x 7) / 22

D = 14 cm