Final answer:
The area of a skating rink with a radius of 20 yards is calculated as 1200 yd² using an estimate of 3 for pi, and approximately 1256 yd² using 3.14 as an estimate.
Step-by-step explanation:
The question involves finding the area of a circular skating rink with a radius of 20 yards using different approximations for pi (π).
When the first student uses 3 as the estimate for pi, the calculated area is:
A = πr² = 3 × (20 yd)² = 3 × 400 yd² = 1200 yd².
Whereas, when the second student uses 3.14 as the estimate for pi, the calculated area is:
A = πr² = 3.14 × (20 yd)² = 3.14 × 400 yd² ≈ 1256 yd².
The exact value of pi is approximately 3.14159, which provides an even more accurate area if used. However, significant figures may restrict how precise the answer should be reported, based on the precision of the given radius.