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(5)/(2)*13=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=(32.5)/(2)=16.25\text{ feet}`

and the area will be:

`\begin{gathered} A=\pi*16.25^2 \\ A=829.6 \end{gathered}`

The actual area is 829.6 square feet.