Talk:Circular segment

Write-up on Circular Segment well done. There is a simpler Trig approach

Removed the hand drawn diagram as it is not relevant to the derivation of the formula and it does not add anything to the article. 165.222.186.195 11:52, 13 September 2006 (UTC)

I don't see why the angle has to be less than 180 degrees

that is just a special case

a small additional problem

Is there a way of computing in an analytical way the length of radius R and possibly the angle Theta once the area of the segment (A) and the length and direction of the chord (c) are given?

It might be a very tiny problem

One sec^2...... pun intended

Isn't the area 1/2 r^2 theta, where theta is in radians. Don't think you need trig, unless i have misinterpreted this article —Preceding unsigned comment added by Addy-g-indahouse (talk • contribs) 11:00, 24 October 2007 (UTC)

That's the area of the circular sector. This is a circular segment. Look at the picture. --76.173.203.58 (talk) 06:53, 14 June 2009 (UTC)

The sentence below the chord length formula does not make sense. It should be removed. Bensij (talk) 09:21, 16 July 2008 (UTC)

Go ahead; nobody is stopping you. --76.173.203.58 (talk) 06:53, 14 June 2009 (UTC)

The area formula should be changed

The final formula for the area of a circular segment has a little problem: In the first case (where theta in radians) the sinus actually takes degrees as an argument! It should be changed to accept radians as an argument, why convert radians to degrees for the sinus? —Preceding unsigned comment added by Hiddensob (talk • contribs) 09:44, 7 May 2011 (UTC)

Changed it to the standard way of writing it. Also removed superfluous notations that theta is in radians. I think the problem is that early math students plug these into their calculators and don't understand why they don't work. What a dark mark on the general populous mathematics education... -72.45.211.194 (talk) 13:25, 20 May 2011 (UTC)

I don't think that an area formula for theta in degrees should be given at all. It's extraneous and confusing. If necessary, just remind people that theta is in radians. If someone doesn't know trig well enough to convert angles between degrees and radians, they are not going to understand the article anyway. Gsspradlin (talk) 00:53, 19 December 2013 (UTC)

Theta is in Radians everyone!

^ The comment that Theta is in radians is absolutely not superfluous! Not everyone needing to use this equation did Mathematics even beyond age 16 (which for some of us is a bloody long time ago)!! — Preceding unsigned comment added by 202.96.219.34 (talk) 07:15, 25 May 2011 (UTC)

incorrect formula

The 3rd formula "a = h(4c^2 + 3h) / (6c)" seems incorrect. I'm pretty sure pi should be involved somewhere. Consider the trivial case h = R and c = 2R when R = 1 (half a unit circle), area is then 19/12 which is not pi/2. — Preceding unsigned comment added by Cpt jeltz (talk • contribs) 07:36, 28 March 2012 (UTC)

Messed up

This is all just made up. Do any of you know what you are doing? For example, there should not be any 180 degrees in the formulas and at the same time pi. You are mixing degrees and radians. Jfgrcar (talk) 16:37, 4 August 2013 (UTC)

Of course there should. I suppose you mean the arc length formula, $s={\frac {\alpha }{180}}\pi R$? Formulae that relate radius and arc length need the angle to be in radians. The article provides formulae with the angle $\alpha$ degrees as well as $\theta$ radians, presumably for the reader's convenience—and you find both 180 and π in the formula to convert degrees to radians. -- Perey (talk) 04:54, 13 September 2013 (UTC)

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