The diameter of a circle is 32 miles. What is the circle's area?
d=32 mi
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

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

\[
\text{Area} = \pi \times r^2
\]

Here, the diameter \( d \) is given as 32 miles. The radius \( r \) is half of the diameter:

\[
r = \frac{d}{2} = \frac{32}{2} = 16 \text{ miles}
\]

Now, we substitute the radius and \( \pi \approx 3.14 \) into the formula:

\[
\text{Area} = 3.14 \times (16)^2 = 3.14 \times 256
\]

Multiplying:

\[
\text{Area} = 3.14 \times 256 = 803.84 \text{ square miles}
\]

So, the area of the circle is approximately **803.84 square miles**.

Would you like any further details or explanations?

Here are 5 related questions:
1. What is the circumference of the circle with a diameter of 32 miles?
2. How would the area change if the diameter was doubled?
3. Can you calculate the area if \( \pi \) were approximated as 3.1416?
4. How is the formula for the area of a circle derived?
5. What is the area of a semicircle with the same diameter?

**Tip:** When solving problems involving circles, always remember that the radius is half the diameter.

The diameter of a circle is 32 miles. What is the circle's area? d=32 mi. Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Find out how to calculate the area of a circle with a diameter of 32 miles using the formula Area = π × r^2. This problem uses 𝜋 ≈ 3.14 and demonstrates step-by-step how to solve for the area, rounding to the nearest hundredth. Suitable for students in Grades 6-8.

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