HMMT 二月 2002 · GEN1 赛 · 第 7 题
HMMT February 2002 — GEN1 Round — Problem 7
题目详情
英文原题
- A circle is inscribed in a square dartboard. If a dart is thrown at the dartboard and hitsthe dartboard in a random location, with all locations having the same probability of beinghit, what is the probability that it lands within the circle?
解析
英文解析
- A circle is inscribed in a square dartboard. If a dart is thrown at the dartboard andhits the dartboard in a random location, with all locations having the same probability ofbeing hit, what is the probability that it lands within the circle?
Solution: The answer is the area of the circle over the area of the square, which is .π 4