The circular surface of a table has a diameter of 7 ft. What will cost to have the top refinished if the company charges $6 per square foot for the refinishing? Use 3.14 for ƒàƒnand round your answer to the nearest cent.

area of table=pi*(3.5)^2=3.14*(3.5)^2=38.465

(38.465 sq ft)*(6 dollars/sqft)=230.79 dollars

To find the cost of refinishing the circular surface of the table, we need to calculate the area of the surface first.

1. Find the radius of the circular surface: The diameter is given as 7 ft, and we know that the diameter is twice the radius. So, the radius is 7 ft / 2 = 3.5 ft.

2. Calculate the area of the circular surface: The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. Since we are given π as 3.14, we can substitute the values into the formula:
A = 3.14 * (3.5 ft)^2
A = 3.14 * 12.25 ft^2
A ≈ 38.465 ft^2 (rounding to the nearest thousandth)

3. Calculate the cost of refinishing: The company charges $6 per square foot, so we can multiply the area by the cost per square foot to find the total cost:
Cost = 38.465 ft^2 * $6/ft^2
Cost ≈ $230.79 (rounding to the nearest cent)

Therefore, it will cost approximately $230.79 to have the top of the table refinished.