(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is a problem within a problem. I need to differentiate the area of a chord of find the maximum area (and hopefully, in the process, radius).

2. Relevant equations

I found this equation on another site:

A=R^2[(Pi/180*c - sin c)]/2

Where:

• C is the central angle in degrees.

• R is the radius of the circle of which the segment is a part.

• A is the area of the chord.

(I think I typed it out correctly. Here's the website: http://www.mathopenref.com/segmentarea.html)

3. The attempt at a solution

First problem: How can I differentiate the equation when the is denominator is 2? My central angle is 180 Degrees, so it worked out to be:

A=R^2[(Pi - sin 180)]/2

Something is terribly wrong, I'm sure. Is it even the right formula? There is also this formula:

http://mathworld.wolfram.com/Chord.html

Sorry it's a little messy, but my thought pattern is crazy at the moment. Thanks for any help.

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# Homework Help: Maximising the Area of a Chord.

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