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sadeysnow
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The area of a circle is calculated using the formula A = πr^2, where r is the radius and π is approximately 3.14. In this case, the area of the circle would be approximately 4.78 x 10^9 cm^2.
The uncertainty of a measurement is determined by the precision of the measuring instrument. In this case, the uncertainty of the circle's radius would depend on the precision of the tool used to measure it. For example, if the tool can measure up to the nearest 0.01 cm, the uncertainty would be ± 0.01 cm.
The area of a circle is directly proportional to the square of its radius. This means that as the radius increases, the area increases exponentially. In this case, a small increase in the radius from 3.9 x 10^4 cm to 4 x 10^4 cm would result in a significant increase in the area.
No, the area of a circle cannot be negative. The area is a measure of the space enclosed by the circle, and it is always a positive value. If the radius or the measurement used to calculate the area is negative, it would result in an error.
The calculated area and uncertainty of the circle can be used to determine the precision and accuracy of future measurements. By knowing the uncertainty, you can determine the range of possible values for the area. This can help in making more accurate measurements and reducing the margin of error.