Answer:
0.00545 square feet.
Explanation:
The area of a circle can be calculated using the formula A = πr², where r is the radius of the circle. Given a radius of 1/2 in, the area of the circle is:
A = π * (1/2)² = π/4 square inches
To convert this to square feet, we need to know how many square inches are in a square foot. Since 1 foot is equal to 12 inches, 1 square foot is equal to 12² = 144 square inches. Therefore, to convert square inches to square feet, we need to divide by 144:
A = (π/4) square inches * (1 square foot/144 square inches) = π/(4*144) square feet
Simplifying:
A ≈ 0.00545 square feet (rounded to five decimal places)
So the area of the circle when the radius is 1/2 in is approximately 0.00545 square feet.