Re: Simple Geometry Problem
- From: David W. Cantrell <DWCantrell@xxxxxxxxxxx>
- Date: 30 Dec 2006 20:34:16 GMT
"Randy Poe" <poespam-trap@xxxxxxxxx> wrote:
david bandel wrote:
Given a circular arc of length 15 units that is subtended by a chord of
the same circle of length 10 units, find the radius of the circle.
Draw a radii at either end of the arc. There is an angle
theta between them.
Draw the radius that bisects this angle. It is a perpendicular
bisector of the chord. You now have a relationship between
theta/2 and L/2, the length of half the chord.
You also have a relationship between theta and the length
of the arc.
Write down those two relationships and the solution should be
clear.
David, I suggest that you look at Case 1 at
<http://mathforum.org/dr.math/faq/faq.circle.segment.html>.
David Cantrell
.
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