SOLUTION: The following picture shows a high school gymnasium. The art class is planning to create a circular design for the center of the floor, and the students know the diameter of the ci

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Question 157896: The following picture shows a high school gymnasium. The art class is planning to create a circular design for the center of the floor, and the students know the diameter of the circle must be 16 feet. They have a budget of $100 and want to make sure they have enough money to buy paint to cover the full circle.
What is the area of the circle that needs to be painted and also if a pint of paint covers 60 ft2, how many pints of paint are needed to complete the job?
If each pint costs $6.95, find the cost of the paint needed.
Alexander, D. C., & Koeberlein, M. G. (2003). Elementary geometry for college students (3rd ed.). Boston: Houghton Mifflin.


Answer by oscargut(891) About Me  (Show Source):
You can put this solution on YOUR website!
diameter of the circle must be 16 feet then radius=r=8 feet
Area =r^2pi where pi=3,14159 aprox
then
A=8^2pi=201,062 ft2 (aprox)
Answer:the area of the circle is 201.062 ft2 (aprox)
1pint covers 60 ft2
x pints covers 201,062 ft2
x=201.062/60=3.351 (aprox)
Answer: 3.351 pints of paint are needed to complete the job
each pint costs $6.95 the total cost is 6.95(3.351)=23.29 (aprox)
Answer: the cost of the paint needed is $23.29 aprox)