This Tricky Geometry Question Has a Super Cool Solution: Find the Area of the Purple Region

Описание: In this super-exciting and fairly challenging geometry problem, we've got a quarter circle and a whole circle tightly placed inside a big square. The circles overlap and they intersect at two points but we do not know their radii. In fact, the only length we know in this problem is the length of the square. And, we are asked to find the area of an uncanny quadrilateral purple region created by the lines joining the intersection points of the circles and the square. This geometry problem has an above -level of difficulty, and honestly, it is one of the hardest math problems I ever solved in my life. But that makes it great 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 will need to use some trigonometry formulas and work with trig functions such as sines and cosines. And, although it might be possible to solve it by just using the Pythagorean Theorem, I suggest you try other trigonometry rules as well. 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, do not stress out or anything because me and my son are here to show you how to do it in a few minutes. I hope you have fun watching the video, enjoy the experience, and feel like you have actually developed your knowledge by watching this cool video!