The Earth has a radius of 6400 km. Calculate the distance round the equator, giving your answer
to the nearest 100 kilometres.

To calculate the distance around the equator, we need to use the formula for the circumference of a circle:

\[
C = 2\pi r
\]

Where:
- \( C \) is the circumference (distance around the equator),
- \( r \) is the radius of the Earth (6400 km), and
- \( \pi \approx 3.1416 \).

Substituting the radius into the formula:

\[
C = 2 \times 3.1416 \times 6400
\]

Let me calculate that for you.

\[
C \approx 2 \times 3.1416 \times 6400 = 40212.96 \text{ km}
\]

Rounding to the nearest 100 kilometers:

\[
C \approx 40200 \text{ km}
\]

Thus, the distance around the equator is approximately **40,200 km**.

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How does the Earth's circumference differ at the poles compared to the equator?
2. What is the formula for the surface area of a sphere, and how can it be applied to the Earth?
3. How would you calculate the volume of the Earth given its radius?
4. What is the significance of \(\pi\) in calculating geometrical properties of circles and spheres?
5. How does the Earth's rotation speed vary with latitude?

**Tip:** When solving geometry problems involving circles or spheres, knowing key constants like \(\pi\) and their properties is crucial for accuracy.

The Earth has a radius of 6400 km. Calculate the distance round the equator, giving your answer to the nearest 100 kilometres.

Learn how to calculate the Earth's circumference at the equator using the formula C = 2πr. With a radius of 6400 km, this solution shows a step-by-step approach to finding the distance around the Earth to the nearest 100 km. Suitable for students in Grades 6-8.

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