Question

12) On a scale drawing of a circular patio, the diameter is 13 centimeters. The drawing has a scale of 2 cm to 5feet. What is the actual area of the patio to the nearest tenth of a square foot?

Answer 1

The scale of the drawing is given to be 2 cm to 5 feet.

If the drawing's diameter is 13 cm, the actual diameter can be calculated to be:

$\Rightarrow\frac{5}{2}\times13=32.5\text{ feet}$

The area of a circle is calculated using the formula:

$A=\pi r^2$

where r is the radius (half of the diameter).

Therefore, the radius will be:

$r=\frac{32.5}{2}=16.25\text{ feet}$

and the area will be:

$\begin{gathered} A=\pi\times16.25^2 \\ A=829.6 \end{gathered}$

The actual area is 829.6 square feet.