Question

the diameter of circle is 14 cm it's circumference will be

Answer 1

$circumference = \pi \: d \\ = \frac{22}{7} \times 14 = 44 \: cm$

Answer 2

Answer :-

• The circumference of the circle is 44 cm.

Given :-

• The diameter of a circle is 14 cm.

To find :-

• It's circumference.

Step-by-step explanation :-

• In this question, the diameter of a circle has been given to us. We have to find it's circumference.

Calculations :-

We know that :-

$\underline{\boxed{ \sf Circumference \: of \: a \: circle = 2\pi r}}$

Here,

• π = pi.
• r = radius.

• But here, we don't know the radius, we only know the diameter. So, first we have to find out the radius here using the diameter.

We know that :-

$\underline{\boxed{\sf Radius = \dfrac{Diameter}{2}}}$

Here,

• Diameter = 14 cm.

Hence,

$\boxed{\sf Radius = \dfrac{14}{2}}$

Dividing 14 by 2,

$\underline{\boxed{\sf Radius = 7 \: cm.}}$

• The radius is 7 cm.

• Now, since we know the radius, therefore let's find the circumference.

As given above,

$\overline{ \boxed{\sf Circumference \: of \: a \: circle = 2\pi r}}$

We know that :-

$\underline{\boxed{\sf \pi = \dfrac{22}{7}}}$

So let's apply this formula!

Substituting the given values,

$\boxed{\sf Circumference = 2 \times \dfrac{22}{ \not7} \times \not7}$

Reducing the numbers,

$\boxed{\sf Circumference = 2 \times \dfrac{22}{1} \times 1}$

Now let's multiply the remaining numbers.

$\boxed{\sf Circumference = 2 \times 22 \times 1}$

On multiplying,

$\underline{\boxed{\sf Circumference = 44 \: cm}}$

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• Hence, the circumference = 44 cm.