https://file.aiquickdraw.com/mathbot/file/17291954080172e3d8h53.jpg

To solve this problem:

The diameter of the circle is 16 mm. The formula for the area \(A\) of a circle is given by:

\[
A = \pi r^2
\]

where \(r\) is the radius of the circle. The radius is half of the diameter, so:

\[
r = \frac{16}{2} = 8 \, \text{mm}
\]

Now substitute the radius into the area formula:

\[
A = \pi (8)^2 = \pi \times 64 = 64\pi \, \text{mm}^2
\]

So, the area of the circle is:

\[
64\pi \, \text{mm}^2
\]

Would you like more details or have any questions?

---

Here are 5 follow-up questions:
1. How would you calculate the circumference of the circle given its diameter?
2. If the radius was doubled, how would that affect the area?
3. What would the area be if the diameter was given in centimeters instead of millimeters?
4. How would you express the area if you needed a numerical approximation using \(\pi \approx 3.1416\)?
5. How does the area of a circle change if only the diameter is changed?

**Tip:** The radius is always half the diameter—keep this relationship in mind when solving circle-related problems!

A circle has a diameter of 16 mm. Work out the area of this circle. Give your answer in terms of π.

Learn how to calculate the area of a circle with a diameter of 16 mm. This problem uses key geometry concepts, including the formula A = πr². The solution is explained step-by-step, with the answer provided in terms of π. 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