Question

You work for a sign-making company, and you are making a circular sign for a customer. the customer requested that the sign have a radius of 3 feet. your manager needs to know how much sheet metal will be used to make the sign. approximately how much sheet metal is needed for the sign?

A. 7.065 square feet
B. 9.42 square feet
C. 18.84 square feet
D. 28.26 square feet
E. 113.04 square feet

Answer 1

The sign-making company would need approximately 28.26 square feet of sheet metal to make the circular sign with a radius of 3 feet. The correct answer is D. 28.26 square feet.

To calculate the amount of sheet metal needed for a circular sign with a radius of 3 feet, we can use the formula for the area of a circle: A = πr², where A is the area and r is the radius.

1. Calculate the Area of the Circle:

- A = π * (3 feet)²

- A = π * 9 square feet

- A ≈ 28.26 square feet (using the approximation π ≈ 3.14)

28.26 square feet

Here's a detailed step-by-step explanation:

1. Identify the given information:

- Radius (r) = 3 feet

2. Apply the formula for the area of a circle:

- A = πr²

3. Plug in the given radius:

- A = π * (3 feet)²

- A = π * 9 square feet

4. Approximate π (Pi):

- A ≈ 3.14 * 9 square feet

- A ≈ 28.26 square feet