A Nice Math Olympiad Geometry Puzzle l Find The Area of Red Circle l Olympiad Geometry
Автор: Math Station
Загружено: 2025-11-05
Просмотров: 143
Описание:
Find the Area of This Hidden Circle! | Geometry Puzzle Explained Step-by-Step
In this video, we explore a fascinating geometry puzzle involving two squares and a circle!
We start with a big square and place a smaller square inside it whose sides are exactly twice as small. Then, in the remaining corner, we inscribe a circle that touches both the sides of the big square and the corner of the small one.
You’ll learn how to calculate the area of the circle using two different methods — one with diagonals and another using a right triangle formula.
This problem is not only fun but also great for sharpening your Olympiad-style reasoning and geometry visualization skills.
If you enjoy step-by-step explanations and deep mathematical insights, make sure to subscribe to our channel.
🕒 Timeline (Chapters)
00:00 – Introduction / Problem Setup (Two Squares and the Circle)
01:00 – Method 1: Using the Diagonal
01:41 – Solving for Radius
03:52 – Finding the Area of the Circle
04:35 – Method 2: Using the Right Triangle Formula
05:05 – Deriving r=(a+b−c)/2
05:47 – Final Area (6−42)𝜋(6−42)π
06:00 – Final Answer and Outro
🎓 Perfect for:
High School Geometry Students
Math Competition Preparation
SAT/ACT Math Practice
Anyone who loves problem-solving!
💡 Don't forget to:
LIKE if you enjoyed this problem
SUBSCRIBE for more geometry challenges
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