A sundial has a circular base with a diameter of 90 feet as shown in the diagram.
90 feet. N. E. S. W.
Which measurement is the closest to the area of the circular base of the sundial in square feet?
3,627.5 ft
282.6 ft
141.3 ft
6,358.5 ft
6,358.5 ft
To find the area of a circle, we use the formula A = πr^2, where r is the radius of the circle. In this case, the diameter of the circular base is 90 feet, so the radius is half of that, which is 45 feet.
Plugging the radius into the formula, we get:
A = π * 45^2 = π * 2025 ≈ 6,358.5 square feet
Therefore, the closest measurement to the area of the circular base of the sundial is 6,358.5 square feet.