Definition: The point in the interior of a circle that is equidistant from all points on the circumference.
Alright class, settle down and let’s take a look!
That definition you read – “the point in the interior of a circle that is equidistant from all points on the circumference” – it's quite precise, isn't it? Let’s break it down with a little rhyme to make it stick:
“
Centre
,
centre
, shining bright,
The middle point, a wondrous sight!
From every edge, the same you see,
Equidistant for all to be!”
Essentially, ‘centre’ (or ‘center’, depending on where you are!) refers to the very heart of a shape. In this case, it's the center of a circle. It's the point that sits right in the middle, and if you measured from that point to any spot on the edge – the circumference – it would be exactly the same distance every single time.
Think of it like this: imagine drawing lines from the centre to each point around the circle’s rim. All those lines would be the
same
length.
Does that make sense? Do you have any questions about where this ‘centre’ might be found in other shapes, or what its significance is in geometry?