Question

Emma wants to stain a circular deck that has a diameter of 12 m. The cost of the wood stain is 3.25 dollars per square meter. To the nearest dollar how much would it cost emma to stain the entire deck?

Answer 1

To find the cost of staining the circular deck, we calculate the area of the deck and multiply it by the cost of wood stain per square meter.

Step-by-step explanation:

To find the cost of staining the circular deck, we need to calculate its area and then multiply it by the cost of the wood stain per square meter. The formula to find the area of a circle is A = πr^2, where r is the radius of the circle. Since we are given the diameter, we can calculate the radius by dividing the diameter by 2. So, the radius of the deck is 12/2 = 6 meters.

Now, let's calculate the area of the deck using the formula: A = πr^2. Plugging in the value of r, we get A = π(6)^2 = 36π square meters.

Since we know that the cost of the wood stain is $3.25 per square meter, we can find the total cost by multiplying the area of the deck by the cost per square meter. The total cost = 36π * $3.25 ≈ $116.15. Therefore, it would cost Emma approximately $116 to stain the entire deck.