Question

the circus has several large circular tents. the floor of each tent has a circumference of 188.4 feet

Answer 1

Given:

The circumference of each tent, C=188.4 ft.

Since the tent is circular in shape, the expression for the circumference of the floor of each tent is,

$C=2\pi r$

Put C=188.4 ft in the above equation to calculate the radius r.

$\begin{gathered} 188.4=2\pi\text{ }\times r \\ r^{}=\frac{188.4}{2\pi\text{ }} \\ r\approx30\text{ ft} \end{gathered}$

Now, the area of the floor of each tent is,

$\begin{gathered} A=\pi r^2 \\ A=\pi\times30^2 \\ A=2827.4ft^2 \end{gathered}$

Therefore, the radius of the floor of each tent is 30 ft and the area is 2827.4 sq.ft..