Arc Area
The area between an arc and the center of a circle is:
The area has the same proportion to the circle area as the angle to a full circle:
We can get rid of a on both sides:
By multiplying both sides by, we get the final result:
Using the conversion described above, we find that the area of the sector for a central angle measured in degrees is:
Read more about this topic: Arc (geometry)
Famous quotes containing the words arc and/or area:
“Male urination really is a kind of accomplishment, an arc of transcendance. A woman merely waters the ground she stands on.”
—Camille Paglia (b. 1947)
“The area [of toilet training] is one where a child really does possess the power to defy. Strong pressure leads to a powerful struggle. The issue then is not toilet training but who holds the reins—mother or child? And the child has most of the ammunition!”
—Dorothy Corkville Briggs (20th century)