Question

The diameter of a circle is 22 inches. What is the circle's circumference?

Answer 1

Answer:

Given :-

• The diameter of a circle is 22 inches.

To Find :-

• What is the circumference of a circle.

Formula Used :-

$\clubsuit$ Radius Formula :

$\longmapsto \sf\boxed{\bold{\pink{Radius =\: \dfrac{Diameter}{2}}}}$

$\clubsuit$ Circumference of Circle :

$\longmapsto \sf\boxed{\bold{\pink{Circumference_{(Circle)} =\: 2{\pi}r}}}$

where,

• r = Radius

Solution :-

First, we have to find the radius of a circle :-

Given :

$\bigstar$ Diameter = 22 inches

According to the question by using the formula we get,

$\implies \sf Radius =\: \dfrac{\cancel{22}}{\cancel{2}}\: inches$

$\implies \sf Radius =\: \dfrac{11}{1}\: inches$

$\implies \sf\bold{\purple{Radius =\: 11\: inches}}$

Hence, the radius of a circle is 11 inches.

Now, we have to find the circumference of a circle :-

Given :

$\bigstar$ Radius = 11 inches

$\bigstar$ π = 22/7

According to the question by using the formula we get,

$\longrightarrow \sf Circumference_{(Circle)} =\: 2 \times \dfrac{22}{7} \times 11$

$\longrightarrow \sf Circumference_{Circle)} =\: \dfrac{44}{7} \times 11$

$\longrightarrow \sf Circumference_{(Circle)} =\: \dfrac{484}{7}$

$\longrightarrow \sf\bold{\red{Circumference_{(Circle)} =\: 69.14\: inches}}$

$\therefore$ The circumference of a circle is 69.14 inches.

Answer 2

Explanation:

The relationship between the diameter and the radius is:

$⟹\color{red}\boxed{ d= 2r}$

The formula for the circumference of a circle is:

$⟹ \color{red} \boxed{C=2πr\: or \: C=2rπ}$

Because $d=2r$we can substitute as:

$⟹ \color{red} \boxed{C=dπ}$

We can now calculate the circumference of the circle in the problem as:

Circumference of a circle = 2πr

=2 × 22/7 × 11

= 44/7 × 11

= 484/7

= 69.14

$\huge➙ \: \color{blue \boxed{C≅69.14}$