The area of a circle with a diameter of 72 feet is approximately which value?

Prepare for the California Structural Steel Contractor C-51 License Exam. Use our flashcards and multiple choice questions, each with hints and explanations. Ensure you are ready for the exam!

Multiple Choice

The area of a circle with a diameter of 72 feet is approximately which value?

Explanation:
Start with the circle area formula. The diameter is 72 ft, so the radius is 72/2 = 36 ft. The area is A = πr^2 = π(36)^2 = 1296π ≈ 1296 × 3.1416 ≈ 4071.5 square feet. The value closest to this among the given options is 4071 sq ft, so that is the best approximate answer.

Start with the circle area formula. The diameter is 72 ft, so the radius is 72/2 = 36 ft. The area is A = πr^2 = π(36)^2 = 1296π ≈ 1296 × 3.1416 ≈ 4071.5 square feet. The value closest to this among the given options is 4071 sq ft, so that is the best approximate answer.

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