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Circles: Radius, Diameter & Circumference

What Is a Circle?

A circle is a perfectly round shape, like a pizza, a coin, or a hula hoop. Every point on the edge of the circle is the same distance from the centre.


Important Circle Parts:

1. Centre
  • The middle point of the circle.


2. Diameter
  • A line that goes across the circle, passing through the centre.

  • It's twice as long as the radius.

👉 It’s the longest straight line you can draw inside a circle.



3. Radius
  • A line from the centre to the edge of the circle.

  • It's half the length of the diameter.




What is Circumference?

The circumference is the distance around the edge of the circle. It's like the circle’s version of a perimeter.


Formula for Circumference

There are two ways to find the circumference:


1) If you know the diameter (d):

Circumference = π × diameterorC = π × d


2) If you know the radius (r):

Circumference = 2 × π × radiusorC = 2πr


Unit of Circumference can be cm,meter, km, mm, etc.


🌟 What is π (pi)?
  • Pi (Ï€) is a special number in maths.

  • It’s about 3.14, but it goes on forever!

  • You can use 3.14 in most questions unless told otherwise.

🎯 Top Tips:

🌟 Diameter is twice the radius. So if you know one, you can find the other!

🌟 Always check if the question gives you the radius or the diameter.

🌟 Use 3.14 for π unless your calculator has a π button.

🌟 The circumference is like the fence around a circular garden—it tells you how far it is around.


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