Find the Area of the Shaded Region | Viral Circle Geometry Problem скачать в хорошем качестве

Find the Area of the Shaded Region | Viral Circle Geometry Problem

This viral geometry problem from X looks intimidating at first glance — but the solution is surprisingly simple once you see the key idea. In this Prime Logic episode, we’re asked to find the area of the shaded (green) region formed by a large circle with two smaller circles perfectly aligned along its diameter. While the original problem doesn’t explicitly state it, recognizing that the inner circles must lie on the same diameter is the crucial insight that unlocks the entire solution. Using only the basic area formula for circles (πr²), we determine the radius of the largest circle from the combined diameters of the smaller ones, then subtract the areas of the two inner circles to reveal the final shaded area. This problem is a perfect example of how geometry questions that look complex often reduce to clean, elegant logic — exactly the kind of thinking Prime Logic is all about. ⏸️ Pause the video before the solution and try solving it yourself! 📌 What you’ll learn in this video: • How to interpret missing assumptions in geometry problems • Why alignment along a diameter matters • A fast and elegant shaded-area strategy • How viral geometry problems trick the eye 👍 If you enjoy elegant math problems like this, make sure to LIKE the video 📩 SUBSCRIBE to Prime Logic for daily geometry challenges 💬 Comment below: Did you solve it before the answer? ⏱️ TIMESTAMPS: 0:00 Viral geometry problem introduction 0:18 Understanding the diagram 1:05 Identifying the hidden assumption 1:40 Finding the radius of the big circle 2:20 Area subtraction strategy 3:00 Final answer revealed See you in the next episode of Prime Logic. 🔗 Useful Links: Subscribe to Prime Logic:    / @primelogic   🔗 More Olympiad Challenges Playlist:    • How to Find the Smallest Prime Factor of 7...   🔗 Connect on Social Media: 🐦 Twitter: https://x.com/PrimeLogics 📸 Instagram:   / primelogic   #geometry #math #shadedarea #circlegeometry #viralmath #mathproblem #primelogic