The diameter of a circle is 14 m. Find its area to the nearest tenth.


To find the area of a circle, you can use the formula:

\[
A = \pi r^2
\]

Where:
- \( A \) is the area,
- \( r \) is the radius, which is half the diameter.

Given that the diameter is 14 meters, the radius \( r \) is:

\[
r = \frac{14}{2} = 7 \, \text{m}
\]

Now, substitute the radius into the formula for the area:

\[
A = \pi (7)^2 = \pi (49)
\]

Using \( \pi \approx 3.1416 \):

\[
A \approx 3.1416 \times 49 = 153.9384 \, \text{m}^2
\]

Rounding to the nearest tenth:

\[
A \approx 153.9 \, \text{m}^2
\]

Thus, the area of the circle is approximately **153.9 square meters**.

Would you like more details or have any questions?

Here are 5 related questions to further explore:
1. What is the circumference of the circle with a diameter of 14 m?
2. How would the area change if the diameter were doubled?
3. What is the radius of a circle whose area is 314 square meters?
4. How do you calculate the area of a sector of a circle?
5. What is the area of a circle with a radius of 10 meters?

**Tip:** Always remember that the area of a circle grows quadratically with the radius, meaning if the radius doubles, the area quadruples!

The diameter of a circle is 14 m. Find its area to the nearest tenth.

Find the area of a circle with a 14 m diameter using the formula A = πr². Learn how to calculate the radius from the diameter and use the value of π to get the result, rounded to the nearest tenth. Suitable for Grades 6-8 geometry learners.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation