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Rina8888 [55]
3 years ago
11

A circular rug has a diameter of 3 feet. Part A What is the area in square feet, of the rug rounded to the nearest whole number?

Enter your answer in the space provided
Mathematics
1 answer:
lidiya [134]3 years ago
7 0

Answer:

7.069 ft²

Step-by-step explanation:

Given that:

Shape of rug = circular

Diameter of rug = 3 feets

The Area in square feet of the rug =?

Area of a circle :

πr²

r = Radius

r = diameter / 2 = 3 /2 = 1.5 feets

Area = π * 1.5^2

Area = 7.0685834

Area = 7.069 ft²

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The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the peri
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FOUND THE COMPLETE QUESTION IN ANOTHER SOURCE.ATTACHED IMAGE.
 For this case what we have is the following:
 For the two semicircles we can model it as a complete circle.
 We have to then:
 
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 d = diameter
 Therefore the perimeter is:
 P = 10 * pi
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 radius = 10
 Perimeter:
 P '= 2pi10
 P '= 20pi
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 P '' = 20pi / 4 = 5pi
 Then, the total perimeter of the source is:
 Pt = P + P '' = 10pi + 5pi = 15pi
 Pt = 15 * (3.141592)
 Pt = 47.1239
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 Area:
 The total area will be:
 A = A (two semicircles) + A (quarter big circle)
 A = (pi / 4) * (d ^ 2) + (1/4) * pi * r ^ 2
 A = (pi / 4) * ((10) ^ 2) + (1/4) * pi * (5) ^ 2
 A = 98.17477042 feet ^ 2
 Round:
 A = 98.2 feet ^ 2

 Answer: 
 Perimeter of the source: 
 Pt = 47.1 ft 
 Area of the source: 
 A = 98.2 feet ^ 2

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