A CIRCULAR COFFEE TABLE HAS A DIAMETER IF 5FT. WHAT WILL THE COST BE TO BE REFINISHED IF THE COMPANY CHARGES $3.00 PER SQUARE FOOT?
A+=+pi%2Ar%5E2
r+=+2.5
A+=+pi%2A2.5%5E2
A+=+pi%2A6.25
A+=+19.635 ft2
If cost = C
C+=+3%2A19.635
C = $58.90 answer
Correct!
Note that the area of a circle can be
either
πr² or πd²/4
Total cost
=πr²*($3)
=π(d²/4)*($3)
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To solve this problem, we need to calculate the area of the circular coffee table first.
The formula to calculate the area of a circle is A = π*r^2, where A is the area and r is the radius.
Given that the diameter of the coffee table is 5ft, we can find the radius by dividing the diameter by 2:
r = 5ft/2 = 2.5ft
Now, substitute the value of r into the formula to find the area:
A = π * (2.5)^2 = π * 6.25 ≈ 19.635ft^2
The company charges $3.00 per square foot for refinishing, so to find the cost (C) to be refinished, multiply the area by the cost per square foot:
C = $3.00 * 19.635 ≈ $58.90
Therefore, the cost to refinish the circular coffee table will be approximately $58.90.