Final answer:
To calculate the square feet of tile needed for Bob's Burger's floor, we need to find the area of the floor. We are given the area in square meters, so we need to convert it to square feet. Using the formula for the area of a circle, A = πr², we can find the radius of the floor and calculate the area in square feet. The correct option is d) 60π, which is approximately equal to 128.58 ft².
Step-by-step explanation:
To calculate the square feet of tile needed for Bob's Burger's floor, we need to know the area of the floor in square feet. We are given four options: a) 120π, b) 100π, c) 80π, d) 60π. In order to find the answer, we need to find the radius of the floor and then use the formula for the area of a circle, which is A = πr². The correct option will give us the area of the floor in square feet.
Let's say the radius of the floor is r feet. The area of the floor is A = πr². We are given the area of the floor to be 12.0 m² with an uncertainty of 3 percent, which is 0.4 m². In order to convert m² to ft², we should use the conversion factor: 1 m² = 10.764 ft². Therefore, the area of the floor in ft² is: 12.0 m² * 10.764 ft²/m² = 129.17 ft² (rounded to two decimal places).
Now let's substitute the area of the floor in A = πr². 129.17 ft² = πr². We can solve for r by rearranging the equation as follows: r² = 129.17 ft² / π, r ≈ √(129.17 ft² / π). Using a calculator, we find that the approximate value of r is 6.43 ft (rounded to two decimal places).
Finally, we can calculate the square feet of tile needed by substituting r in the formula A = πr². A ≈ π * (6.43 ft)² ≈ 128.58 ft². Therefore, the answer is approximately 128.58 ft², which is closest to option d) 120π