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The image you provided shows Kepler's third law applied to calculate the orbital period of Venus around the Sun in Earth days. Here's the formula given:

\[
T = 0.2 \times r^{\frac{3}{2}}
\]

Where:
- \( T \) is the time the planet (in this case, Venus) takes to orbit the Sun, measured in Earth days.
- \( r \) is the distance from the planet to the Sun, measured in millions of kilometers.

To calculate the number of days it takes Venus to orbit the Sun, you need to know the distance \( r \) (in millions of kilometers) from Venus to the Sun. Once you have this value, you can plug it into the equation to solve for \( T \).

### Example:
- If Venus is approximately 108 million kilometers from the Sun, then \( r = 108 \).

We can calculate \( T \) using the formula \( T = 0.2 \times r^{\frac{3}{2}} \).

Let me know if you would like me to proceed with the calculation or provide further details!

Here are 5 related questions to explore:
1. What is Kepler's third law and how does it apply to other planets?
2. How does the orbital period change with different distances from the Sun?
3. Can Kepler’s laws be used for objects orbiting bodies other than the Sun?
4. How does the orbital speed of a planet relate to its distance from the Sun?
5. What units are typically used in astronomical calculations involving Kepler's laws?

**Tip**: When using Kepler's laws, ensure that units for distance and time are consistent for accurate calculations!

Use Kepler's third law to calculate how many days it takes for Venus to orbit the Sun.

Learn how to apply Kepler's third law to calculate the orbital period of Venus around the Sun. This example uses the formula T = 0.2 * r^(3/2), where r is the distance between Venus and the Sun in millions of kilometers. Suitable for high school students learning about astronomy and algebra.

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