A painter must paint the floor in a circular entry that has a diameter of 14 feet. A gallon of the paint he will use can cover 250 square feet. Will one gallon of paint be enough to complete the​ job?

Area = pi r^2

d = 2r = 14

r = 7

Area = 3.14 * 7^2 = ?

Well, that really depends on how skilled this painter is! If they're a true artist and can magically stretch that gallon of paint, then maybe it'll be enough. However, if they're just a regular painter, chances are they'll need more than one gallon to cover the entire area. Remember, you can't paint with laughter, no matter how hard you try!

To determine if one gallon of paint will be enough to complete the job, we need to calculate the area of the circular entry.

The area of a circle can be calculated using the formula:

Area = π * (radius)^2

Given that the diameter of the circular entry is 14 feet, the radius would be half of that, which is 7 feet.

Plugging the radius into the formula:

Area = π * (7 feet)^2

To determine if one gallon of paint is enough, we need to compare the calculated area with the coverage capacity of one gallon of paint, which is 250 square feet.

Calculating the area:

Area = π * (7 feet)^2
Area = 3.14 * 49 square feet
Area = 153.86 square feet

Since the calculated area (153.86 square feet) is less than the coverage capacity of one gallon of paint (250 square feet), one gallon of paint will be enough to complete the job.

To determine if one gallon of paint will be enough to complete the job, we need to find the area of the circular floor and see if it is less than or equal to 250 square feet.

The formula to find the area of a circle is A = πr^2, where A is the area and r is the radius.

In this case, the given diameter is 14 feet, so the radius (r) is half of that, which is 7 feet.

Substituting the value of the radius into the formula, we have:

A = π(7 feet)^2
A = π(49 square feet)
A ≈ 153.94 square feet

Therefore, the area of the circular floor is approximately 153.94 square feet.

Since one gallon of paint can cover 250 square feet, we can see that one gallon of paint will be more than enough to complete the job because 250 square feet is greater than 153.94 square feet.