Samantha is having a braided rug made for her kitchen. The radius of the circular rug is three feet. What is the area of the kitchen floor the rug will cover? Use π = 3.14.

To find the area of the circular rug, we use the formula for the area of a circle:

\[
\text{Area} = \pi r^2
\]

Where:
- \( r \) is the radius of the circle,
- \( \pi \) is approximately 3.14.

Given that the radius \( r \) is 3 feet, the area of the rug will be:

\[
\text{Area} = 3.14 \times (3^2) = 3.14 \times 9 = 28.26 \, \text{square feet}
\]

Thus, the area of the kitchen floor that the rug will cover is **28.26 square feet**.

Would you like more details or have any questions? Here are 5 related questions for further practice:

1. What would the area be if the radius of the rug were 4 feet?
2. How would the area change if the radius was halved?
3. If the rug were elliptical with a semi-major axis of 3 feet and a semi-minor axis of 2 feet, what would the area be?
4. How much more area would be covered by a rug with a radius of 5 feet?
5. How is the formula for the circumference of a circle related to the area formula?

**Tip:** Remember that the area of a circle increases with the square of the radius, so even a small increase in radius leads to a significant increase in area!

Learn how to calculate the area of a circular rug with a 3-foot radius using the formula A = πr², with π = 3.14. This problem focuses on geometry and is suitable for students in Grades 6-8.

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