Decorative Segment

 I was walking through my living room when suddenly I saw a Chinese style decorative plate and it happened to remind me of our latest chapter of geometry. I decided to show how to find the area of a segment.

As you can see, I went in GSP and drew what it would look like. I drew two radii, which happened to form a 120 degree angle. Area is pi radius squared, so I divided it by three because the circle was cut into three equal sections. Then I calculated the area of the triangle with the Pythagorean Theorem and subtracted the whole section from the area of the triangle. (~WM5)

Drum Segment

In this picture of a drum head, I demonstrated how to find the segment.  First you find the area of the sector that you are dealing with, then you figure out what the area of the triangle is & subtract the area of the triangle from the sector area.  What is left should be the segment area. (~JG2)