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#31
06-18-2009, 01:06 PM
 JohnS Double Ultimate Supreme Member Join Date: Dec 2007 Location: SE Michigan, USA Posts: 8,707 Rep Power: 17
Re: explain to me how the radius and chords are different?

[QUOTE=amanda dubuisson]
Quote:
 Originally Posted by amanda I am not exactly sure what you mean. The chord meaures the curve of a sector of a circle? so what can u explain to me like in a question for this Circle A has a radius of 3 m. What is the length of the longest chord in circle A? can you help me on that and to show me how you did it.
The chord is the straight line across the end points of the sector. The longest possible chord is a diameter (twice radius).
#32
07-15-2009, 07:56 AM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

The formula was very helpful to me. It help me calculate a very large radius on a small part.
#33
09-01-2009, 05:22 PM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

what is /2m if m = 20 in your equation
#34
09-02-2009, 03:04 AM
 JohnS Double Ultimate Supreme Member Join Date: Dec 2007 Location: SE Michigan, USA Posts: 8,707 Rep Power: 17
Re: Find the radius from a chord

Quote:
 Originally Posted by Unregistered what is /2m if m = 20 in your equation
Divide by 40. Perhaps it would be clearer as /(2*m)
#35
10-14-2009, 10:21 PM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

I know the radius of a circle and the angle formating at the center by the cord,How can I find the lenght of the cord?

Exp.-If radius=10mtrs. and the angle is 120 degree then the lenght of the cord is?
#36
10-15-2009, 03:38 AM
 JohnS Double Ultimate Supreme Member Join Date: Dec 2007 Location: SE Michigan, USA Posts: 8,707 Rep Power: 17
Re: Find the radius from a chord

Quote:
 Originally Posted by Unregistered I know the radius of a circle and the angle formating at the center by the cord,How can I find the lenght of the cord? Exp.-If radius=10mtrs. and the angle is 120 degree then the lenght of the cord is?
If the angle is theta, the chord is
2*r*sin(theta/2) = 2*10*sin(60°) = 17.32 m
#37
10-18-2009, 04:37 AM
 Nisar1238 Guest Posts: n/a
Re: Find the radius from a chord

By having only two measurements, first the length of the chord and the height of the curve, what is the formula for finding the radius of the circle
#38
10-18-2009, 09:38 AM
 JohnS Double Ultimate Supreme Member Join Date: Dec 2007 Location: SE Michigan, USA Posts: 8,707 Rep Power: 17
Re: Find the radius from a chord

Quote:
 Originally Posted by Nisar1238 By having only two measurements, first the length of the chord and the height of the curve, what is the formula for finding the radius of the circle
see posts #2 and #4 for diagram and formula.
#39
03-18-2010, 02:58 PM
 6178 Guest Posts: n/a
Re: Find the radius from a chord

I have the radius and the length of the arc segment how do
I find the length of the chord
#40
03-18-2010, 04:44 PM
 JohnS Double Ultimate Supreme Member Join Date: Dec 2007 Location: SE Michigan, USA Posts: 8,707 Rep Power: 17
Re: Find the radius from a chord

Quote:
 Originally Posted by 6178 I have the radius and the length of the arc segment how do I find the length of the chord
The central angle, theta, is s/r radians or (s/r)*(180/pi) degrees

The chord is 2*r*sin(theta/2)

The height is r*(1 - cos(theta/2))

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