Can You Solve This Elegant Geometry Puzzle. | Find The Radius.

Can You Solve This Elegant Geometry Puzzle. | Find The Radius. How To Find The Radius of a Quarter Circle | Geometry Puzzle Explained A deceptively simple geometry puzzle that trips many people up! In this video, we find the radius of a quarter circle containing a split vertical line segment.Can you solve it using basic algebra and geometry? Pause the video and try it yourself before watching the solution! Learn how to find the radius of a quarter circle given a vertical line segment split into lengths of 6 and 4 by a diagonal chord.Spoiler Alert (Solution Formula):By setting the center of the circle at \((0,0)\), the diagonal line is \(x + y = R\).Since the height at the intersection is 6, the x-coordinate is \(R - 6\).The total height to the arc is \(6 + 4 = 10\).Using the circle equation \(x^2 + y^2 = R^2\):\((R - 6)^2 + 10^2 = R^2\)\(R^2 - 12R + 136 = R^2\)\(12R = 136 \implies R = 34/3\) or approx \(11.33\) Today I will teach you tips and tricks to solve the given olympiad math question in a simple and easy way. Learn how to prepare for Math Olympiad fast! How fast can you find the radius of this quarter circle?While it looks challenging at first glance, the solution only requires a clear understanding of the equation of a circle and some simple algebra. Watch the step-by-step breakdown to see the elegant math behind it.If you enjoyed this puzzle, don't forget to like, subscribe, and share it with your fellow math lovers!#Math #GeometryPuzzle #BrainTeaser Need help with solving this Math Olympiad Question? You're in the right place! I have over 20 years of experience teaching Mathematics at Indian schools, colleges, and universities. Learn more about me at Can you find area of the Green shaded Triangle? | (Square) | #math #maths | #geometry Olympiad Mathematical Question! | Learn Tips how to solve Olympiad Question without hassle and anxiety! #FindGreenTriangleArea #Square #Triangles #Trigonometry #GeometryMath #PythagoreanTheorem #MathOlympiad #IntersectingChordsTheorem #RightTriangle #RightTriangles #PreMath #PreMath.com #MathOlympics #HowToThinkOutsideTheBox #ThinkOutsideTheBox #HowToThinkOutsideTheBox? #FillInTheBoxes #GeometryMath #Geometry #RightTriangles #OlympiadMathematicalQuestion #HowToSolveOlympiadQuestion #MathOlympiadQuestion #MathOlympiadQuestions #OlympiadQuestion #Olympiad #AlgebraReview #Algebra #Mathematics #Math #Maths #MathOlympiad #HarvardAdmissionQuestion #MathOlympiadPreparation #LearntipstosolveOlympiadMathQuestionfast #OlympiadMathematicsCompetition #MathOlympics #CollegeEntranceExam #blackpenredpen #MathOlympiadTraining #Olympiad Question #GeometrySkills #GeometryFormulas #Angles #Height #ComplementaryAngles #MathematicalOlympiad #OlympiadMathematics #CompetitiveExams #CompetitiveExam How to solve Olympiad Mathematical Question How to prepare for Math Olympiad How to Solve Olympiad Question How to Solve international math olympiad questions international math olympiad questions and solutions international math olympiad questions and answers olympiad mathematics competition blackpenredpen math olympics olympiad exam olympiad exam sample papers math olympiad sample questions math olympiada British Math Olympiad olympics math olympics mathematics olympics math activities olympics math competition Math Olympiad Training How to win the International Math Olympiad | Po-Shen Loh and Lex Fridman Po-Shen Loh and Lex Fridman Number Theory There is a ridiculously easy way to solve this Olympiad qualifier problem This U.S. Olympiad Coach Has a Unique Approach to Math The Map of Mathematics mathcounts math at work Pre Math Olympiad Mathematics Two Methods to Solve System of Exponential of Equations Olympiad Question Find Area of the Shaded Triangle in a Rectangle Geometry Geometry math Geometry skills Right triangles imo Competitive Exams Competitive Exam Calculate the length AB Pythagorean Theorem Right triangles Intersecting Chords Theorem coolmath my maths mathpapa mymaths cymath sumdog multiplication ixl math deltamath reflex math math genie math way math for fun Subscribe Now as the ultimate shots of Math doses are on their way to fill your minds with the knowledge and wisdom once again.