What is the area of a circle with a diameter of 36 feet?

What is the area of a circle with a diameter of 36 feet?

• A. 904 sq ft
• B. 800 sq ft
• C. 1017 sq ft
• D. 1257 sq ft

Answer: (C)

The area of a circle comes from A = πr^2, and the diameter sets the radius. With a diameter of 36 ft, the radius is 18 ft. So the area is A = π(18)^2 = 324π square feet. Using π ≈ 3.1416, that’s about 324 × 3.1416 ≈ 1017.9 sq ft, which rounds to about 1017 or 1018 sq ft. The option near 1017 sq ft is the correct pick. The other numbers would come from different radii or a different π value and don’t fit the 36 ft diameter.

The area of a circle comes from A = πr^2, and the diameter sets the radius. With a diameter of 36 ft, the radius is 18 ft. So the area is A = π(18)^2 = 324π square feet. Using π ≈ 3.1416, that’s about 324 × 3.1416 ≈ 1017.9 sq ft, which rounds to about 1017 or 1018 sq ft. The option near 1017 sq ft is the correct pick. The other numbers would come from different radii or a different π value and don’t fit the 36 ft diameter.