下载 "Challenging Geometry Problem with a Cool Solution: Find the Area of the Green Region"

In this super-exciting and somewhat tough geometry question, we've got a quarter circle and a semicircle tightly placed inside a big square with an unknown side length. In fact, the only lengths we know in this problem are two seemingly irrelevant line segments around one of the vertices. And we are asked to find the area of the green region. This geometry problem has a medium level of difficulty, so it is not super-hard but certainly not easy. But that makes it fitting for developing your skills in finding the area of the shaded region type of questions. If you want to try solving this on your own, go ahead. Here is a clue for you. You need to use the Pythagorean theorem. And to do that you first need to find a right triangle. You will also need to train your skills in finding the area of a circle using the radius and pi. If you cannot solve it on your own, no need to despair because I am here to show you how to do it in five minutes. I hope you enjoy the video, have fun watching it, and feel like you have actually learned something important and cool by watching this video to the end!