A painter needs to paint a circular floor that is 24 yards in diameter. A gallon of paint cover 59 square yards. How many gallons of paint is needed to cover the floor?

area = pi*24^2/4 = 452 yd^2

so that means you will need 452/59 = 7.6 (or 8) gallons

To find out how many gallons of paint are needed to cover the floor, you need to find the area of the circular floor first.

The area of a circle can be found using the formula: A = πr², where A is the area and r is the radius.

Given that the diameter of the circular floor is 24 yards, we can calculate the radius by dividing the diameter by 2:
r = 24 yards / 2 = 12 yards

Now, substitute the value of the radius into the formula of the area of a circle:
A = π(12²) = π(144) = 144π square yards

Since one gallon of paint covers 59 square yards, we can divide the total area of the circular floor by the coverage of one gallon to find the number of gallons required:
number of gallons = 144π square yards / 59 square yards ≈ 7.744 gallons

Rounding to the nearest gallon, the painter will need approximately 8 gallons of paint to cover the circular floor.

To find out how many gallons of paint are needed to cover the circular floor, we need to calculate the area of the floor and then divide it by the coverage of one gallon of paint.

First, let's find the radius of the circular floor. The radius is half of the diameter, so the radius would be 24 yards / 2 = 12 yards.

Next, we can calculate the area of the circular floor using the formula for the area of a circle: Area = π * radius^2. Substituting the values, we get Area = π * (12 yards)^2.

To calculate the area, we need the value of π, which is approximately 3.14159. Multiplying this by the squared radius (144 yards), we get Area = 3.14159 * 144 yards.

This simplifies to Area ≈ 452.16 square yards.

Now, divide the total area (452.16 square yards) by the coverage of one gallon of paint (59 square yards) to get the number of gallons needed.

Number of gallons needed = 452.16 square yards / 59 square yards per gallon.

By dividing these values, we find that approximately 7.67 gallons of paint are needed to cover the circular floor. Rounded up to the nearest whole number, the painter would need 8 gallons of paint.