Question

A 44 cm long wire is bent to form a circle. Find the diameter of the circle.​

Answer 1

Answer ::

• The diameter of circle is 14cm.

Step-by-step explanation ::

To Find :-

• The diameter of circle

Solution :-

Given that,

• A 44cm long wire is bent to form a circle

Therefore,

Perimeter of circle = 44cm,

First we need to find out the radius of the circle,

Let us assume the radius of circle as r centimetre,

As we know that,

Circumference of circle = 2πr,

Where,

• π = 22/7
• r = radius

➮ 2πr = 44

➮ 2 × 22/7 × r = 44

➮ 44/7 × r = 44

➮ r = 44 × 7/44

➮ r = 7

The radius of circle is 7cm.

According the question,

The diameter of circle is,

As we know that,

Diameter = Radius × 2,

Therefore,

➮ Diameter = 7cm × 2

➮ Diameter = 14cm

• The diameter of circle is 14cm.

Formula used :-

• Circumference of circle = 2πr
• Diameter of circle = Radius × 2.

Answer 2

Question :

A 44 cm long wire is bent to form a circle. Find the diameter of the circle.

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Given :

• Length of wire = 44cm
• Wire is bent into shape of circle.

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To find :

• Diameter of circle.

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Solution :

Length of wire is 44cm and it is bent into the shape of circle. So, the circumference of circle = length of wire = 44cm.

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Perimeter of circle = 2πr

$\sf { 44 = 2 \times \dfrac {22}{7} \times r}$

$\implies \sf {r = \dfrac{44 \times 7}{ 2\times 22 } }$

r = 7cm

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Diameter of circle = 2r

ㅤㅤㅤㅤㅤㅤㅤㅤ= 2(7)

ㅤㅤㅤㅤㅤㅤㅤㅤ= 14 cmㅤ

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