Question

#7. You are a contract painter who is preparing an estimate for a customer. The customer's circular deck has a radius of 19 feet. You plan to use an outdoor paint that claims that one gallon will cover 250 square feet. How many gallons should you buy?

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A
2


B
3


C
4


D
5


E
Too little information

Answer 1

To calculate how many gallons of paint you'll need, you first need to determine the area of the circular deck.

The formula for the area \( A \) of a circle is:

\[
A = \pi r^2
\]

where \( r \) is the radius.

In this case, the radius \( r \) is 19 feet.

Calculating the area:

\[
A = \pi (19)^2 \approx 3.14 \times 361 \approx 1134.94 \text{ square feet}
\]

Now, you need to know how many gallons of paint you will need. Since one gallon covers 250 square feet, you can divide the total area by the coverage per gallon:

\[
\text{Gallons needed} = \frac{A}{\text{coverage per gallon}} = \frac{1134.94}{250} \approx 4.53976
\]

Since you cannot purchase a fraction of a gallon, you will need to round up to the next whole number. Therefore, you would need 5 gallons of paint.

Based on this calculation, the answer is:

D. 5