Question

Find the area of the circumference of a circle with diameter 7yd use the value 3.14 as pie

Answer 1

Given,

• Diameter of the circle = 7 yd

• Have to take the value of π as 3.14

`\:`

To Find,

• The area and the circumference of a circle.

`\:`

Solution :

• As, the diameter is 7 yd, therefore the radius will be 3.5 yd

First of all, we'll find the circumference of the circle :

`\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_((circle)) = 2 \pi r}}}}}} \: \: \bigstar \\ \\`

Now, we'll substitute the required values in the formula :

`\\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_((circle)) = 2 * 3.14 * 3.5}}} \: \: \\ \\`

`{ \longrightarrow \qquad{ \sf{ \: \: Circumference_((circle)) = 3.14 * 7}}} \: \: \\ \\`

`{ \longrightarrow \qquad{ \sf{ \pmb{ \: Circumference_((circle)) = 21.98}}}} \: \: \\ \\`

Therefore,

• The circumference of the circle is 21.98 yd

`\:`

Now, we'll find the area of the circle :

`\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Area_((circle)) = \pi r^2}}}}}} \: \: \bigstar \\ \\`

`{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_((circle)) = 3.14 * { * (3.5)}^(2) }}}}}} \: \: \\ \\`

`{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_((circle)) = 3.14 * { * 3.5 * 3.5 }}}}}}} \: \: \\ \\`

`{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_((circle)) = 3.14 * 12 .25 }}}}}} \: \: \\ \\`

`{ \longrightarrow \qquad{ {{\pmb { \sf{ \: \: Area_((circle)) = 38.465 }}}}}} \: \: \\ \\`

Therefore,

• The area of the circle is 38.46 yd² approximately