Question

Find the area of a circle with a Diameter = 12 ft. Use 3.14 for π and round to 2 decimal places.

Answer 1

Given:

Diameter of circle = 12ft

pi = 3.14

Solution

The area (A) of a circle can be calculated using the formula:

`\begin{gathered} A\text{ = }\pi r^2 \\ \text{where r is the radius of the circle} \end{gathered}`

Recall that the diamter (d) and radius (r) are related by the formula:

`\begin{gathered} \text{radius = }(diameter)/(2) \\ r\text{ = }(d)/(2) \end{gathered}`

We can now find the radius (r) of the circle to be:

`\begin{gathered} r\text{ = }(12)/(2) \\ r\text{ = 6 ft} \end{gathered}`

We can now find the area by the applying the formula given above:

`\begin{gathered} A\text{ = }\pi* r^2 \\ A\text{ = 3.14 }*6^2 \\ =113.04ft^2\text{ (2.dp)} \end{gathered}`

Answer: 113.04 square feet