Final answer:
The area of a circle is calculated using the formula π * r², relating solely to circles, not squares, rectangles, or triangles. A square's area is a², which is equal to 4r² if you fit a circle with diameter equal to the square side within it. The area should also be reported with the same number of significant figures as the given radius.
Step-by-step explanation:
The question is asking which shape calculates the area using the calcsquare() function when the formula to calculate the area of a circle is given by π * r². The given formula π * r² is specifically used for calculating the area of a circle, as π (pi) is a constant approximately equal to 3.1415927, and r represents the radius of the circle.
The area of a square, on the other hand, is calculated by squaring the length of one of its sides (a²), which is unrelated to the formula for the area of a circle. A circle enclosed within a square will have a smaller area than the square itself. For example, a square with a side length of 'a' will have an area of a², which is equal to 4r² if the diameter of the circle (2r) fits exactly along the side of the square.
When computing the area, it is important to consider significant figures. If the radius of the circle is given with two significant figures, say r = 1.2 m, the area calculated should also be reported with two significant figures. Using the formula A = πr², the area would be approximately A = 4.5 m², disregarding extra digits produced by the calculator beyond the significant figures of the input values.