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AveGali [126]
4 years ago
13

A circle has a radius of 6.87 ft.

Mathematics
1 answer:
Viktor [21]4 years ago
7 0
43.1436, or round it to 43.1 
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The length and width of a rectangular room are measured to be 3.955±0.005m. Calculate the area of the room and its uncertainty i
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Answer:

The area of the room and its uncertainty in square meters is:

15.642±0.040 m^2

Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

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Now we need to know the uncertainty, the uncertainty of a multiplication is:

\frac{δ_a}{|Area|} =\frac{δ_L}{|L|}+\frac{δ_W}{|W|} (1)

δ_A: Area uncertainty

δ_L: Length uncertainty

δ_W: Width uncertainty

A: Area of the room

L: Length

W: Width

Clearing the uncertainty of the area:

δ_A=(\frac{δ_x}{|x|}+\frac{δ_y}{|y|})*Area (2)

δ_A=(\frac{0.005}{|3.955|}+\frac{0.005}{|3.955|})*15.642 m^2

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The area of the room and its uncertainty in square meters is:

15.642±0.040 m^2

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3 years ago
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