What is the approximate area of a circular roof with a 12-foot diameter?

What is the approximate area of a circular roof with a 12-foot diameter?

• A. 113 sq ft
• B. 452 sq ft
• C. 97 sq ft
• D. 100 sq ft

Answer: (A)

Area of a circle is π times the radius squared. With a diameter of 12 feet, the radius is 6 feet. So the area is π × 6^2 = π × 36. Using π ≈ 3.14 gives about 113 square feet, which rounds to 113 sq ft. The area scales with the square of the radius, so this value makes sense for a circle of that size. Therefore, the approximate area is about 113 square feet.

Area of a circle is π times the radius squared. With a diameter of 12 feet, the radius is 6 feet. So the area is π × 6^2 = π × 36. Using π ≈ 3.14 gives about 113 square feet, which rounds to 113 sq ft. The area scales with the square of the radius, so this value makes sense for a circle of that size. Therefore, the approximate area is about 113 square feet.