From the image you uploaded, it looks like you are working on a simulation in which you are asked to measure the radius of your home planet and calculate the time it would take light to travel that distance. Here’s a step-by-step guide to solve this:

1. Step 1: Understanding the Field of View (FOV)

   • The problem says, “The view of the sky is currently 20,000 km across.”
   • This means the diameter of the planet visible in the simulation is 20,000 km.

2. Step 2: Calculating the Radius of the Planet

   • The radius $r$ is half the diameter.
   • Since the diameter is given as 20,000 km: $r = \frac{20000}{2} = 10,000 \, \text{km}$
   • The radius of the planet is 10,000 km.

3. Step 3: Calculating the Time for Light to Travel the Radius

   • The speed of light $c$ is given as ( 3.00