If a circle has a radius of 5 feet, its area is approximately how many square feet?

If a circle has a radius of 5 feet, its area is approximately how many square feet?

• A. 78.5 square feet
• B. 25 pi square feet
• C. 75 square feet
• D. 80 square feet

Answer: (A)

Area of a circle is found with A = π r^2. With a radius of 5 feet, A = π × 5^2 = 25π square feet. Using π ≈ 3.1416, this is about 25 × 3.1416 ≈ 78.54, which rounds to 78.5. So the approximate area is 78.5 square feet. The exact expression 25π is the same value, about 78.54; the other options are rough guesses that don’t match the typical rounding of 78.54.

Area of a circle is found with A = π r^2. With a radius of 5 feet, A = π × 5^2 = 25π square feet. Using π ≈ 3.1416, this is about 25 × 3.1416 ≈ 78.54, which rounds to 78.5. So the approximate area is 78.5 square feet. The exact expression 25π is the same value, about 78.54; the other options are rough guesses that don’t match the typical rounding of 78.54.