Final Answer:
The area of a circular site that has a diameter of 220 feet is A) 38,485π ft²
Step-by-step explanation:
The area (A) of a circular site is given by the formula A = π * (d/2)², where d is the diameter. In this case, the diameter is 220 feet. Substitute the given value into the formula: A = π * (220/2)².
First, find the radius (r) by dividing the diameter by 2: r = 220/2 = 110. Now, substitute r into the area formula: A = π * 110². Calculate A: A = 38,485π square feet.
Therefore, the correct answer is A) 38,485π ft². This option provides the accurate representation of the area of the circular site with a diameter of 220 feet in terms of the constant π.
Understanding the formula for the area of a circle and the relationships between diameter and radius is fundamental in solving such problems. The formula A = π * r² encapsulates the essence of calculating the area based on the geometric properties of a circle. Applying these principles ensures the correct determination of the circular site's area.