The radius of a circle is 13 yards. What is the circle's area?
r=13 yd
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

The formula for the area \( A \) of a circle is:

\[
A = \pi r^2
\]

Where:
- \( r \) is the radius,
- \( \pi \approx 3.14 \).

Given:
- \( r = 13 \) yards.

Now, substituting the values:

\[
A = 3.14 \times (13)^2 = 3.14 \times 169 = 530.66 \, \text{square yards}.
\]

So, the area of the circle is approximately **530.66 square yards**.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the circumference of a circle with a radius of 13 yards?
2. If the radius was doubled, what would the new area be?
3. How do you derive the formula for the area of a circle?
4. What would the area be if the radius was 20 yards?
5. How does changing the radius affect the area of a circle?

**Tip:** The area of a circle increases with the square of the radius, so even small changes in radius can lead to large changes in area!

The radius of a circle is 13 yards. What is the circle's area? Use ​π ≈ 3.14 and round your answer to the nearest hundredth.

Find the area of a circle with a radius of 13 yards using the formula A = πr², where π ≈ 3.14. The solution walks you through step-by-step, arriving at an area of approximately 530.66 square yards. 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