what is area of circle with diameter of 68 millimeters

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

\[
A = \pi r^2
\]

where:
- \( A \) is the area,
- \( r \) is the radius of the circle.

Since the diameter of the circle is 68 millimeters, the radius is half of the diameter:

\[
r = \frac{68}{2} = 34 \, \text{mm}
\]

Now, we can calculate the area:

\[
A = \pi \times 34^2 = \pi \times 1156
\]

\[
A \approx 3.1416 \times 1156 \approx 3631.68 \, \text{mm}^2
\]

So, the area of the circle is approximately \( 3631.68 \, \text{mm}^2 \).

Would you like further details or explanations?

Here are 5 related questions:
1. How does the area change if the diameter doubles?
2. What is the circumference of the circle with a 68 mm diameter?
3. How do you calculate the area of a sector of a circle?
4. What is the relationship between radius and area?
5. How can you calculate the diameter if only the area is given?

**Tip:** Always remember that the radius is half of the diameter when working with circles!

What is the area of a circle with a diameter of 68 millimeters?

Learn how to calculate the area of a circle with a diameter of 68 mm. Using the formula A = πr², this problem covers key geometric concepts. Find out how the radius (34 mm) leads to an area of approximately 3631.68 mm². 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