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. Study with flashcards and multiple-choice questions with hints and explanations. Get ready to succeed!

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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