# Fantasia decided to paint her circular room which had a diameter of 25 feet. She started painting in

Discussion in 'Calculator Requests' started by math_celebrity, Dec 2, 2022.

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Fantasia decided to paint her circular room which had a diameter of 25 feet. She started painting in the center and when she had painted a circle with a 5-foot diameter, she used one quart of paint. How many more quarts of paint must Fantasia buy to finish her room?

The area formula for a circle is:
Area = pir^2

Area of full room
Area = 3.1415 * 12.5 * 12.5
Area = 490.625

Area of 5-foot diameter circle
Area = 3.1415 * 2.5 * 2.5
Area = 19.625

So 1 quart of paint covers 19.625 square feet

Area of unpainted room = Area of Room - Area of 5-foot diameter circle
Area of unpainted room = 490.625 - 19.625
Area of unpainted room = 471

Calculate quarts of paint needed:
Quarts of paint needed = Area of unpainted Room / square feet per quart of paint
Quarts of paint needed = 471/19.625
Quarts of paint needed = 24 quarts