Question

The diameter. of a circle is 14 ft. Find its are in terms of pi

Answer 1

The formula to find the area of a circle is

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

So, in this case, you have

`\begin{gathered} r=7ft \\ \text{ Because} \\ \text{ radius }=\frac{\text{ diameter}}{2} \\ \text{ radius }=(14ft)/(2) \\ \text{ radius }=7ft \end{gathered}`

Then,

`\begin{gathered} A=\pi r^2 \\ A=\pi(7ft)^2 \\ A=\pi\cdot49ft^2 \\ A=49\pi ft^2 \end{gathered}`

Therefore, the area of this circle in terms of pi is 49 square feet.