A circle has two special parts called a sector and a segment. Even though they are related, they are not the same.
- A sector is like a piece of pizza! It is shaped like a wedge and is made up of two straight lines (called radii) and the curved part (called an arc) between them. If you have a circle with a radius of r and a central angle of θ, you can find the area of that sector using this formula:
Area of Sector=360θ×πr2
- A segment, however, is a bit different. It's the area that is between a straight line (called a chord) and the curved part (the arc). You can think of it as a piece of pizza with the top part missing. To find the area of a segment, you take the area of the sector and subtract the area of the triangle inside. It looks like this:
Area of Segment=Area of Sector−Area of Triangle
So, remember this: sectors are made with radii, while segments are made with chords!