Question

Find the circumference and area of the circle round to the nearest whole number

Answer 1

`\begin{gathered} \text{Cir cumfrence = 126 ft} \\ \text{Area = 1257 ft}^2 \end{gathered}`

Here, we want to find the circumfrence and area of the circle

To find either of this, we need the value of the radius of the circle

The radius of a circle is the distance btetween the center of the circle and the circumfrence of the circle. In this question, this distance is 20 ft

Mathematically, we can calculate the area with the formula;

`\begin{gathered} A\text{ = }\pi\text{ }* r^2 \\ A\text{ = }(22)/(7)\text{ }*20^2 \\ \\ A\text{ = }\frac{22\text{ }*\text{ 400}}{7} \\ \\ A\text{ = 1257.1429} \\ \\ A=1257ft^2\text{ to the nearest whole number} \end{gathered}`

To calculate the circumfrence of the circle, we use the formula below;

`\begin{gathered} C\text{ = 2 }*\text{ }\pi\text{ }*\text{ r} \\ \\ C\text{ = 2 }*\text{ }(22)/(7)\text{ }*\text{ 20} \\ \\ C\text{ = }(880)/(7) \\ \\ C\text{ = 125.71} \\ \\ C\text{ = 126 ft to the nearest whole number} \end{gathered}`