Final answer:
The area of a circle with a diameter of 8 yards is approximately 50.24 square yards. After rounding to two significant figures, the area is 50 square yards.
Step-by-step explanation:
To find the area of a circle with a diameter of 8 yards, you first need to calculate the radius of the circle which is half of the diameter. Thus, the radius (r) is 4 yards. The formula to calculate the area (A) is A = πr². Using the approximation π ≈ 3.14.
We calculate: A = (3.14) × (4 yards)². A = 3.14 × 16 yards². A = 50.24 square yards. Therefore, the area of the circle is approximately 50.24 square yards. Since the question asks for only two significant figures, similar to the example provided where a radius with only two significant figures:
r = 1.2 m, leads to an area of A=4.5 m² after rounding, we should round our result to two significant figures as well: The approximate area of the circle is 50 square yards.