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From the exercise described, we are tasked with finding:

1. The radius of the home planet, given that the view across the sky is 20,000 km.
2. The time it takes for light to travel that distance.

### Step 1: Calculate the Radius
The total view across the sky is 20,000 km, which represents the diameter. The radius of the planet is half of that:

\[
\text{Radius} = \frac{20,000 \, \text{km}}{2} = 10,000 \, \text{km}
\]

### Step 2: Time for Light to Travel This Distance
The speed of light is \(3.00 \times 10^5\) km/s. We use the formula for time:

\[
t = \frac{d}{v}
\]

where:
- \(d = 10,000 \, \text{km}\) (the radius of the planet),
- \(v = 3.00 \times 10^5 \, \text{km/s}\) (the speed of light).

\[
t = \frac{10,000 \, \text{km}}{3.00 \times 10^5 \, \text{km/s}} = 0.0333 \, \text{seconds}
\]

Thus, it takes light approximately **0.0333 seconds** to travel this distance.

Would you like further details or clarifications?

Here are five related questions:
1. How does the speed of light compare to the speed of sound?
2. What is the significance of using the speed of light in astronomical calculations?
3. Can any object travel faster than the speed of light?
4. How long does light take to travel from Earth to the Moon?
5. Why is the speed of light considered the universal speed limit?

**Tip:** Light travels at a constant speed in a vacuum, making it an essential tool for measuring vast astronomical distances.

Solve a problem involving the radius of a planet and the time it takes for light to travel that distance, using a diameter of 20,000 km. Learn how to calculate the radius and apply the formula for light speed, suitable for students in Grades 9-12.

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