aricleather

Hi. I am currently in Grade 7, and am doing an inquiry project in math. Our current math subject is probability. We were told to pick a question, and using multiple subquestions, calculate the theoretical probability of the event. Me and my partner are big on video games, so we took a classic theme, Majora's Mask. In the game, the moon is going to crash onto the planet and destroy everything. Majora's moon is rather small, so we decided we would use the real moon in our question: If the moon struck the Earth at 3,683km/h, what is the probability of surviving? We have lots of the little questions down, like: What is the probability of the moon knocking Earth out of it's orbit. What is the probability of the moon blocking out the sun? etc. But now that the project is due in 3 days, we are stuck on the toughest question: What is the probability of being in the area the moon lands? So we did a little google search on contact mechanics between spheres, and we got this formula from Wikipedia: I'm sure we could've solved it on our own, but we had no way of knowing that this was the proper formula, and nowhere in the article were the variables defined. So, can anyone assist us in finding the contact area between the moon and the Earth? Edit: Considering both the moon and the Earth are perfect spheres.