Question
he city is putting a fountain at the entrance of the park. A scale drawing of the fountain is shown below.
Scale
1 in. : 4 ft
What is the area of the fountain in square feet?
Responses
A 4𝜋4 𝜋
B 16𝜋16 𝜋
C 64𝜋64 𝜋
D 128𝜋
Circle 2in
scale- 1 in. : 4ft
Scale
1 in. : 4 ft
What is the area of the fountain in square feet?
Responses
A 4𝜋4 𝜋
B 16𝜋16 𝜋
C 64𝜋64 𝜋
D 128𝜋
Circle 2in
scale- 1 in. : 4ft
Answers
GPT 3.5
To find the area of the fountain in square feet, we first need to find the actual size of the fountain in feet. Since the scale is 1 in. : 4 ft, the actual diameter of the fountain is 2 in x 4 ft/in = 8 ft.
The area of a circle is given by the formula A = πr^2. In this case, the radius of the fountain is 8 ft / 2 = 4 ft. So, the area of the fountain is A = π(4)^2 = 16π square feet.
Therefore, the correct answer is B) 16π square feet.
The area of a circle is given by the formula A = πr^2. In this case, the radius of the fountain is 8 ft / 2 = 4 ft. So, the area of the fountain is A = π(4)^2 = 16π square feet.
Therefore, the correct answer is B) 16π square feet.