Solving a 'Harvard' University entrance exam question скачать в хорошем качестве

Solving a 'Harvard' University entrance exam question

In this video, we solve a classic and tricky geometry problem involving a square, a semicircle, and a quarter circle. You’ll learn how to find the shaded area step by step using circle and square geometry, composite area methods, and the Pythagorean theorem. This problem is commonly seen in math olympiad questions, SAT geometry, math contests, and advanced premath challenges. We break it down clearly so anyone can follow — whether you’re preparing for exams or just love brain-twisting geometry puzzles. You’ll discover: How a semicircle fits inside a square How a quarter circle interacts with square sides How to find the radius from the square side How to use the Pythagorean theorem in square-circle geometry How to calculate overlapping and shaded regions Smart tricks for square and circle composite area problems This lesson is perfect for students preparing for SAT math, geometry olympiad, or anyone who enjoys advanced geometry explained step by step. If you like channels such as Magda liebt Mathe, Math Queen, Geometry Tutor, or Brain Station, you’ll love this problem. 📌 Topics covered: square with semicircle and quarter circle, square and semicircle geometry, square and quarter circle geometry, find shaded area square semicircle, area of semicircle in square, area of quarter circle in square, circle inside square geometry, composite area problems, square and circle overlap, geometry proof square and circle, contest geometry problems, SAT geometry prep.