Final answer:
The area of the circle with radius (10.5 ± 0.2) m is calculated using the formula A = πr², which produces an area of 346.36 square meters. Then considering the radius uncertainty, maximum area is 359.46 square meters and minimum area is 333.72 square meters.
Step-by-step explanation:
The area of a circle is given by the formula A=πr², where A is the area and r is the radius. Plugging the radius (10.5 m ± 0.2 m) into this formula provides the area of the circle. Therefore, the area will be (π)*(10.5)² = 346.36 square meters with maximum area being (π)*(10.7)² = 359.46 square meters and a minimum area being (π)*(10.3)² = 333.72 square meters.
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