Question

a piece of wire in the in form of a rectangle with dimensions 12 by 10 M is reshaped to form a circle find the diameter of the circle

Answer 1

Solutions :-

Given :
Dimension of wire in the shape of rectangle = Length = 12 m, Breadth = 10 m


Find the perimeter of rectangular shape wire :-

Perimeter of rectangle = 2(Length + Breadth)
= 2 (12 + 10) m
= 2 × 22 m
= 44 m


Now,
If we reshaped the wire into a circle then it's perimeter can't be changed.

Find the radius of circular shaped wire :-

Circumference of circle = 2πr
=> 44 = 2πr
=> 44/2 = πr
=> 22/π = r = 7


Diameter of circular wire = 2 × Radius
= (2 × 7) m
= 14 m


Hence,
The diameter of the circle = 14 m