the city is putting a fountain at the entrance of the park. A scale drawing of the fountain is shown below.
2 inches inside the circle
Scale
1 in. : 4 ft
What is the area of the fountain in square feet?
To find the area of the fountain in square feet, we first need to find the actual size of the fountain based on the scale drawing.
From the scale drawing, the diameter of the circle representing the fountain is 2 inches. Since the scale is 1 inch : 4 feet, the actual diameter of the fountain is 2 inches * 4 feet/inch = 8 feet.
The formula for the area of a circle is A = πr^2, where r is the radius of the circle. In this case, the radius is half of the diameter, so the radius of the fountain is 8 feet / 2 = 4 feet.
Now we can find the area of the fountain:
A = π(4)^2
A = π(16)
A = 16π
Approximating π to be 3.14, the area of the fountain is:
A ≈ 16 * 3.14
A ≈ 50.24 square feet
Therefore, the area of the fountain is approximately 50.24 square feet.