sam must paint his bedroom ceiling. the diagram below represents his bedroom ceiling and includes a circular light fixture with a diameter of 2 feet. a gallon of paint covers 16 square feet and costs $8.95. how much will sam have to spend on paint to cover the entire ceiling except for the light fixture? assume he cannot buy a fraction of a gallon of paint.

Don't you realize that we can't see the diagram and you haven't given the dimensions?

the length is 12 and the width is 9

12 by 9 = 108 square feet

Area of light fixture:

A = pi * r^2
A = 3.14 * 1^2
A = 3.14 sq. ft.

108 - 3.14 = 104.86 sq. ft.

104.86/16 = 6.55 gallons

7 * 8.95 = ?

where do you get 7 from?

wait ... is the 7 from 6.55?

so would the answer for 7 * 8.95 be
$62.65 ???

Funny, the REA's testware has this same question, ceiling dimensions 12/9 which is

108 - the light fixture diameter 2 = area 3.14=104.86 sq ft, agreed. divided by 16 sq ft per gallon = rounded 7 gallons
their answer choices:
$44.75 $50.20 $38.50 $42.99
am i crazy or is it NONE of these !!!

To find out how much Sam needs to spend on paint to cover the entire ceiling except for the light fixture, we need to calculate the total area of the ceiling and subtract the area of the light fixture.

1. Start by calculating the area of the light fixture:
- The diameter of the light fixture is given as 2 feet, which means the radius (half the diameter) is 1 foot.
- The formula to calculate the area of a circle is A = π * r^2, where A is the area and r is the radius.
- Substituting the values, A = π * 1^2 = π * 1 = π square feet (since π is a mathematical constant, we'll leave it in terms of π instead of approximating).

2. Next, calculate the total area of the ceiling:
- Since the ceiling appears to be a full circle without any obstructions other than the light fixture, we can find the area using A = π * r^2.
- However, we need to determine the radius of the ceiling. Unfortunately, the diagram does not provide measurements, so we'll need to make an assumption or estimate. Let's assume the radius of the ceiling is 6 feet (this is just an example, and the actual measurement may be different).
- Substituting the values, A = π * 6^2 = π * 36 = 36π square feet.

3. Subtract the area of the light fixture from the total area to find the actual area to be painted:
- Actual area to be painted = Total area - Area of the light fixture
- Actual area = 36π square feet - π square feet = 35π square feet.

4. Convert the area to gallons of paint:
- Given that a gallon of paint covers 16 square feet, we need to divide the actual area by 16 to find how many gallons of paint Sam needs.
- Gallons of paint = Actual area / Coverage per gallon = 35π square feet / 16 square feet.

5. Since Sam cannot buy a fraction of a gallon of paint, he will need to round up to the nearest whole gallon. Assuming Sam wants to have enough paint to cover any extra areas or have some left over, he should round up to the nearest gallon.

6. Finally, calculate the cost of the paint:
- The cost of one gallon of paint is given as $8.95.
- Multiply the number of gallons needed by the cost of one gallon to find the total cost.
- Total cost = Number of gallons needed * Cost per gallon.

Please note that the value of π (pi) is approximately 3.14, but it's better to use the symbol π for calculations to keep the answer precise.