Question

The rectangular shape of the wire 14 cm long and 8 cm broad is bent to the form of a circle. Find the diameter of the circle.

• A. 7 cm
• B. 12 cm
• C. 14 cm
• D. 21 cm

Answer 1

The correct option is C 14 cm

Length of the wire = Perimeter of the rectangle

Length of the wire = 2(l + b)
= 2(14 + 8)
= 2 x 22
= 44 cm
Now the same wire is bent to the form of a circle.
Let the radius of the circle be r
The circumference of the circle = length of the wire
C = 2πr
C = πD = 44 cm
D = $\frac{44\times 7}{22}$ = 14 cm
Hence, the diameter of the circle is 14 cm