Please Help

If the arc length s and the distance h from the centre point of the associated chord to the arc is known, how do you calculate the radius?

Thank You

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- April 26th 2006, 06:19 AMaskmemathRadius from Arc
Please Help

If the arc length s and the distance h from the centre point of the associated chord to the arc is known, how do you calculate the radius?

Thank You - April 26th 2006, 09:16 AMCaptainBlackQuote:

Originally Posted by**askmemath**

I am prepared to be proven wrong.

RonL - April 28th 2006, 01:12 PMThePerfectHacker
Here is a picture to help you out.

By the theorem of chord in a circle we have that,

But,

Thus, we have,

[/tex]

Thus,

----------------------

If you know calculus

Thus, you need to find the zero's of the function,

Use Newton's method - April 28th 2006, 01:18 PMCaptainBlackQuote:

Originally Posted by**ThePerfectHacker**

The intersection chord theorem would give in this case:

surly?

RonL - April 29th 2006, 06:49 PMThePerfectHackerQuote:

Originally Posted by**CaptainBlack**

- April 29th 2006, 09:21 PMearbothQuote:

Originally Posted by**ThePerfectHacker**

I'm a little bit confused: When you plug in the value of n, shouldn't be there a squared sine value too?:

Greetings

EB - April 29th 2006, 09:42 PMCaptainBlackQuote:

Originally Posted by**earboth**

RonL - April 30th 2006, 04:36 AMearbothQuote:

Originally Posted by**ThePerfectHacker**

Oh, PLEASE!

don't gamble with your rule nr. 5 :D

EB