https://file.aiquickdraw.com/mathbot/file/17289427926901ym5xaq2.jpg

The problem in the image asks to find the area of a circle with a given diameter of 16 feet, using the approximation \( \pi = 3.14 \).

### Step-by-step solution:

1. **Formula for the area of a circle**: 
   \[
   A = \pi r^2
   \]
   where \( A \) is the area and \( r \) is the radius.

2. **Find the radius**: 
   Since the diameter is 16 feet, the radius is half of the diameter:
   \[
   r = \frac{16}{2} = 8 \text{ ft}
   \]

3. **Substitute the values** into the area formula:
   \[
   A = 3.14 \times 8^2
   \]
   \[
   A = 3.14 \times 64 = 200.96 \text{ square feet}
   \]

So, the area of the circle is **200.96 square feet**.

Would you like more details on any part of the solution?

Here are 5 related questions to extend your understanding:
1. How would the area change if the diameter were doubled?
2. How can you derive the formula for the area of a circle?
3. What is the relationship between the area and the circumference of a circle?
4. How would you calculate the area of a sector of this circle?
5. What is the difference in area between a circle with a diameter of 16 feet and one with a diameter of 8 feet?

**Tip**: Always remember that the radius is half of the diameter, which is a common step in solving circle-related problems.

Find the area of a circle with diameter 16 ft. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

Learn how to find the area of a circle with a diameter of 16 ft. This step-by-step solution uses the formula A = πr² and includes all necessary calculations, including using π ≈ 3.14. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation