Crazy Geometry Problem: Find the Area of the Green Circle - Five Circles Inside One Big Circle

This geometry problem is unique although at first glance, it looks like a classic circle-inside-circle question. I call it crazy because I made sure it’s a super-exciting problem with a very nice solution. There are three identical circles tightly crammed into one big circle and there is an uncanny chord separating them that also acts as a tangent to each one. There are two other smaller circles that have different radii. The only length we know in this challenging circle area question is the radius of the blue-shaded small circles. And we are asked to find the area of the lime-green-shaded circle. I would rate this geometry problem as hard. It has an above-medium level of difficulty, so it is not impossible or insane but certainly far from easy. But that makes it great for honing your skills in finding the area of the shaded region type of questions. If you want to try solving this on your own, you are free to try. And here is a clue for you. You need to detect, find, and work with right triangles. And you will have to use the Pythagorean Theorem many times. You will also need 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 feel sorry because I am here to show you how to do it in a few minutes. I hope you enjoy the video and feel like you have developed your math skills by watching this video to the end! Stay cool!