Field is empty
'%1' is not a valid email address.
Field must not be empty.
It must be at least %1 characters long.
It must be less than %1 charactesr long.
It must be the same as field '%1' value.
Invalid symbol entered. Allowed symbols:'%1'.
Number expected.
Positive number expected.
Integer number expected.
Positive integer number expected.
Values must be in range [%1 .. %2]
Symbol %1 is already entered in allowed characters set.
Field value must be less than %1.
First character must be a latin letter.
Sun
Mon
Tue
Wed
Thu
Fri
Sat
January
February
March
April
May
June
July
August
September
October
November
December
century
B.C.
Error occured during importing data on line:%1. Invalid value: '%2'. Error: %3
Could not determine a data field separator. You may use on of the following characters to separate data fields: Tab, ';' or ','.
%2/%3/%1%4
%2/%3/%1%4 %6:%7
N
S
E
W
yes
no
Invalid file format. We supports only the following formats: %1
minutes
minutes
minute
minutes
minutes
minutes
minutes
minutes
minutes
minutes
minutes
minutes
minutes
hour
hours
hours
hours
hours
hours
hours
hours
hours
hours
hours
days
day
days
days
days
days
days
days
days
days
days
days
month
months
months
months
months
months
months
months
months
months
months
year
years
years
years
years
years
years
years
years
years
years
ago
HTML code with reference to this page
  2. Appearance
    1. Sample
  3. Close
Send toGet reference codeAdd to my siteAdd bookmark
  1. delicious
  2. google
  3. furl
  4. digg
Calculators
  1. Area of circle segment by radius and height
  2. Segment (defined by chord and height)
  3. Circular segment
  4. Save to My Calculators
  1. Created 2011-05-08 10:01:09
  2. by Anton

Online calculator: Circular segment

Circular segment

Circular segment - is an area of a circle which is "cut off" from the rest of the circle by a secant (chord).

On the picture:
L - arc length
h- height
c- chord
R- radius
a- angle

If you know radius and andle you may use the following formulas to calculate remaining segment parameters:

Circular segment formulas



Area:
A=\frac{1}{2}R^2(\alpha-\sin{\alpha}) [1]
Arc length:
L={\alpha}R
Chord length:
c=2{R}{\sin{\frac{\alpha}{2}}}
Segment height:
h={R}\left(1-{\cos{\frac{\alpha}{2}}}\right)

 Circular segment
  3.  0.12345678901234567890 
  4. Calculate
    1. Chord length: 
    2. Height: 
    3. Perimeter: 
    4. Arc length: 
    5. Area: 
  6. Install in your mobile phone


But if you don't know radius and angle you still can caluclate the segment parameters by chord length and segment height:

  Segment (defined by chord and height)
  3.  0.12345678901234567890 
  4. Calculate
    1. Radius: 
    2. Area: 
    3. Arc length: 
    4. Angle (degrees): 
    5. Perimeter: 
  6. Install in your mobile phone


Formula for segment radius by chord and height:
R=\frac{h}{2}+\frac{c^2}{8h}

Then, you can caluclate segment angle using the following formula:
\alpha=2\arcsin{ \frac{c}{2R} }

You may also use the following calculator to obtain segment area by its radius and height:
 Area of circle segment by radius and height
  4.  0.12345678901234567890 
  5. Calculate
    1. Area: 
    2. Chord length: 
    3. Perimeter: 
    4. Arc length: 
    5. Angle (degrees): 
  7. Install in your mobile phone

This calculator evaluates angle by the following formula:
\alpha=2\arccos\left(1-\frac{h}{R}\right)
then it uses formule [1] to calculate the segment area.



Creative Commons Attribution/Share-Alike License 3.0 (Unported)  

Comments

  2. Spam filter
  4. Send comment

Other calculators

  1. About

  2. The project
  3. Terms of usage
  4. Our Twitter

  1. Calculators

  2. All online calculators
  3. All mobile calculators

  1. Community

  2. All discussions

  1. Personal section

  2. Login
Copyright © PlanetCalc Version: 2.0.746.0