How to Find the Center of any Circle

In this video, Chris Tisdell illustrates how to determine the centre point of a circle using a new tool called a circle arc template. It's a classic problem from the world of geometry, and believe it or not, it's a whole lot of fun to solve. So, let's dive in and explore how Chris does it.

Chris starts with a circle, but without a centre point. To find the centre of this circle, Chris starts by drawing a special line inside it called a chord. It's just a straight line that connects two points on the circle's edge. Chris then cuts the chord in half, creating two equal parts, with another perpendicular line segment. We call this special line segment a diameter.

Chris repeats the above process by drawing another chord inside the circle, just like the first one. The second perpendicular bisector cuts the new chord in half, just like before. So now, you have two diameters inside the circle.

But here's the coolest part: the centres of those two diameters, where they meet inside the circle, are like secret treasure spots. Why? Because they're the exact centre of the circle we were looking for all along!

So, by drawing two chords, bisecting them with perpendicular diameters, and finding where those diameters cross each other, Chris reveals the hidden centre of the circle. It's like finding the"X" on a treasure map, only instead of gold, we discover the heart of a circle.

This simple yet clever method Chris uses with the circle arc template makes finding the centre of a circle an enjoyable adventure in geometry. It's a bit like being a detective, solving a mystery, or playing a fun puzzle game.

So, if you ever come across a circle and wonder where its centre is, remember Chris Tisdell's cool trick with chords, diameters, and perpendicular bisectors. You'll be able to uncover the centre of that circle and feel like a geometry explorer on a quest for hidden mathematical treasures.