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What is the area of a circular site that has a diameter of 220 feet?

A) 38,485π ft²
B) 38,485 ft²
C) 19,242π ft²
D) 19,242 ft²

User ErikTJ
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2 Answers

5 votes

Answer:

The area is approximately 38013.27 feet squared.

User UserSN
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1 vote

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.

User Alex Butenko
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