Question

Tathagata bent a copper wire in the form of a rectangle of which length is 18 cm and
breadth is 15 cm. I made a circle by bending this copper wire. Let us calculate the length
of the radius of circular copper wire.​

Answer 1

$\huge\mathfrak\blue{Answer:}$

Given:

• A copper wire is in a form of rectangle whose
• Length = 18 cm
• Breadth = 15 cm
• Then a Circle is formed by bending the same copper wire .

To Find:

• The length of given wire
• The radius of circular copper wire

Solution:

The length of given wire will be equal to the perimeter of rectangle

Length of wire = Perimeter of rectangle

Length = 2 ( l + b )

Length = 2 ( 18 + 15 )

Length = 66 cm

The length of given Copper wire is 66 cm

____________________________

Then the wire is bent to form a circle

Let the radius of circle be = r cm

Hence the circumference of circle will be equal to the length of wire

Circumference = Length

$2.\pi.r = 66cm$

$2.( \dfrac{22}{7} ).r = 66cm$

$r = \dfrac{21}{2}$

$r = 10.5cm$

Hence the length of wire is 66 cm and the radius of circle formed is 10.5 cm