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Amanda [17]
3 years ago
8

A circular rug has a circumference of 314 inches. What is the approximate area? Round to the nearest whole inch. Use 3.14 for pi

e 
Mathematics
2 answers:
lana66690 [7]3 years ago
8 0

Answer:

7,850

Step-by-step explanation:

Semenov [28]3 years ago
6 0

Answer:

The area is 7850 square inches

Step-by-step explanation:

Given the circumference, we want to calculate the area

mathematically, the circumference is;

C = 2 pi r

So r is C/2 pi

Area = pi * r^2

Substitute value for r from circumference;

Area = Pi * c^2/4pi^2

Area = C^2/4pi

Area = 314^2/4 * 3.14

Area = 7850 Inches square

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lys-0071 [83]

Answer:

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The sum of three numbers in <br> g.p. is 21 and the sum of their squares is 189. find the numbers.
sashaice [31]
Let the three gp be a, ar and ar^2
a + ar + ar^2 = 21 => a(1 + r + r^2) = 21 . . . (1)
a^2 + a^2r^2 + a^2r^4 = 189 => a^2(1 + r^2 + r^4) = 189 . . . (2)
squaring (1) gives
a^2(1 + r + r^2)^2 = 441 . . . (3)
(3) ÷ (2) => (1 + r + r^2)^2 / (1 + r^2 + r^4) = 441/189 = 7/3
3(1 + r + r^2)^2 = 7(1 + r^2 + r^4)
3(r^4 + 2r^3 + 3r^2 + 2r + 1) = 7(1 + r^2 + r^4)
3r^4 + 6r^3 + 9r^2 + 6r + 3 = 7 + 7r^2 + 7r^4
4r^4 - 6r^3 - 2r^2 - 6r + 4 = 0
r = 1/2 or r = 2
From (1), a = 21/(1 + r + r^2)
When r = 2:
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