Klarinet Archive - Posting 000875.txt from 2004/07

From: ormondtoby@-----.net (Ormondtoby Montoya)
Subj: [kl] Math
Date: Thu, 22 Jul 2004 21:24:10 -0400

Dan, it's time for me to pay one of my debts to you; but instead of
paying you with a pizza, I'm offering you the thrillng and
ever-satisfying opportunity to answer a math question for me:

I know how to calculate the area enclosed between the circumference of a
circle and a chord that intersects the circle, which is called a
"segment" in my math reference book.

That is, I know how to calculate the angle enclosed by the two radii
that go from the circle's center to either end of the chord, and then I
can substitute this angle into another equation in order to obtain the
area.

Now imagine that I draw another radius, such that it intersects the
"segment" somewhere between the two ends of the chord. That is, it
divides the "segment" into two pieces of unequal sizes.

Can you tell me an equation (of any sort) for calculating the area
enclosed by one of these 'pieces-of-a-segment'?

Thank you,
Ormond

---------------------------------------------------------------------
Klarinet is a service of Woodwind.Org, Inc. http://www.woodwind.org