Examples, solutions, videos, worksheets, games, and activities to help Geometry students learn how to find the area of segments and annulus.
The following diagram shows how to find the area of a segment when the angle is given in degrees or in radians. Scroll down the page for more examples and solutions for the area of sector, area of segment and area of annulus.
Area of a Segment
The area of a segment in a circle is found by first calculating the area of the sector formed by the two radii and then subtracting the area of the triangle formed by the two radii and chord (or secant).
In segment problems, the most challenging aspect is often calculating the area of the triangle.
Area Of Sector And Segment Examples
An annulus is similar to a ring or a castle’s moat; it is the area between two concentric circles. Calculating the annulus area, therefore, involves finding the difference of the two circles' area. A common trick on annulus problems is to give the distance between the small and large circle, and not the large circle’s radius.
Areas of Sectors, Segments, Annulus
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