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Given: Circle diameter 4

Sought Area of circle Pi * r2 =A (Pi = 3.14159...)

r = d/2 >> r = 2

r2 = 4

3.14159 * 4 = 12,56636...

With four significant figures (which is three greater than the diameter of the problem and therefore too great). 12,57 square meters (the diameter should have been written 4,000 for this to be true)

With a single significant figure (like the resolution of the diameter in the problem): 1 * 10 m2 (had to write it that way so that there would be no confusion as to trailing zeros being significant or not)

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Q: What is the area of a circle with a diameter of 4 meters?
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The area of a circle 6 meters in diameter exceeds the combined areas of a circle 4 meters in diameter and a circle 2 meters in diameter by how many square meters?

The area of a circle with 6 meters diameter is 9xpi square meters. The area of circles with 4 meters diameter and 2 meters diameter are 4xpi and 1xpi square meters respectively. The combined area is 5xpi square meters. Thus the area 6 diameter circle exceeds the combined area by (9-5)xpi= 4xpi square meters. Substituting the value of pi as 3. 14, the exceeding area is 12. 56 square meters.


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Using 3.14 as Pi the area of circle is: 12.56


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The radius of the circle is half of the diameter, so it is 4 meters. To find the area of the circle, we can use the formula A = πr^2. Substituting the value of the radius, the area of the circle is therefore A = 3.14 * (4)^2 = 3.14 * 16 = 50.24 square meters.


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