Why the Radius Is NOT 21 – Quarter Circle Geometry Puzzle

From Math Queen.

In this math video I (Susanne) explain how to find the radius of a quarter circle. Many people think the radius is 21 by adding 9 and 12, but that approach is wrong. Using the Pythagorean theorem, we set up a system of equations and solve it step by step to find the correct radius. Mathematics explained.

00:00 Intro – Geometry Puzzle
0:37 The Radius
2:04 Pythagorean Theorem
4:25 System of equations
7:55 Find the radius
9:51 See you later!

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