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Slices

There are two main "slices" of a circle:

Try Them!

Common Sectors

The Quadrant and Semicircle are two special types of Sector:

Half a circle is
a Semicircle.

Quarter of a circle is
a Quadrant.

Area of a Sector

You can work out the Area of a Sector by comparing its angle to the angle of a full circle.
Note: we are using radians for the angles.
This is the reasoning:

Area of Segment

The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here).

There is a lengthy reason, but the result is a slight modification of the Sector formula:

Arc Length

The arc length (of a Sector or Segment) is:

L = θ × r (when θ is in radians)

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There are two main "slices" of a circle: The Quadrant and Semicircle are two special types of Sector: Half a circle is a Semicircle. Quarter of a circle is a Quadrant. You can work out the Area of a Sector by comparing its angle to the angle of a full circle.