Circle: arc, sector and segment
A circle has these main slices: arc, sector and segment. In this article we will show how to calculate these parts.
The arc
The arc is any part of a circle. It can be the part of section or segment. The arc length can be calculated by this formula below:
$$L=\frac{\pi R}{180}\cdot \theta$$The sector
The sector of a circle is region bounded by two radius of equal length with a common center. The sector area can be calculated by this formula below:
$$A=\frac{\pi R^2}{360}\cdot \theta$$The segment
The segment of a circle is a region bounded by a chord and one of the arcs connecting the chords endpoints. The area of a segment is the area of a sector minus the triangular. The segment area can be calculated by this formula below:
$$A=\frac{\pi R^2}{360}\cdot \theta-\frac{R^2 \sin\theta}{2}$$2021-08-30
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