Final answer:
The approximate area of the circle, with a circumference of 43.96 meters and using 3.14 for π, is 153.86 square meters. The radius is calculated from the circumference and then used to calculate the circle's area.
Step-by-step explanation:
To find the approximate area of a circle given its circumference, we can use the patterns derived from the circle's relationship with a square. First, we'll use the given circumference to find the radius and then calculate the area. The formula for the circumference (C) of a circle is πd, which is also 2πr since the diameter (d) is twice the radius (r). From the circumference, we can find the radius using the formula C = 2πr, where π is approximately 3.14. Solving for r we get r = C / (2π).
With the given circumference of 43.96 meters, we find the radius as follows: r = 43.96 / (2 × 3.14) = 43.96 / 6.28 = 7 meters (rounded to two significant figures as per the given precision). Now, to find the area (A), we use the formula A = πr². Plugging in the radius we get A = 3.14 × (7 m)² = 3.14 × 49 m² = 153.86 m², which matches one of the provided options.