The diameter of a circle is 38 millimeters. What is the circle's area?
d=38 mm
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

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

\[
A = \pi \times r^2
\]

Where:
- \( A \) is the area
- \( r \) is the radius
- \( \pi \approx 3.14 \)

Since the diameter \( d = 38 \) mm, the radius \( r \) is half of the diameter:

\[
r = \frac{38}{2} = 19 \, \text{mm}
\]

Now, substitute the values into the area formula:

\[
A = 3.14 \times 19^2 = 3.14 \times 361 = 1133.54 \, \text{mm}^2
\]

So, the area of the circle is approximately:

\[
A \approx 1133.54 \, \text{mm}^2
\]

Would you like more details or have any questions?

Here are some related questions you might explore:
1. What is the circumference of the same circle?
2. How does the area change if the radius is doubled?
3. How would the area calculation differ if \( \pi \) were more precise, such as \( \pi \approx 3.14159 \)?
4. What is the relationship between the radius and the area of a circle?
5. How can you calculate the area if given the circumference instead of the diameter?

**Tip:** Always ensure you halve the diameter to get the radius before applying circle formulas.

The diameter of a circle is 38 millimeters. What is the circle's area? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Learn how to find the area of a circle with a diameter of 38 millimeters using π ≈ 3.14. This geometry problem explains the step-by-step calculation using the formula A = π × r². 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