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Intercircle Quadrangle Calculator

Calculations at an intercircle quadrangle. This is related to an interarc quadrangle, with the difference, that the straight lines are between different semicircles. So the most narrow section is not at one edge, but within the figure.
Enter two of the three values from circle radius, distance of the centers and distance between the circles, as well as two of the three values from height of the first and second line and height of the interarc quadrangle. Choose the number of decimal places, then click Calculate.


Euclid Circle radius (r): Intercircle quadrangle
Distance of the centers (a):
Distance between the circles (b):
Height first line (i):
Height second line (j):
Height interarc quadrangle (h):
Length first line (l):
Length second line (m):
Arc length (n):
Chord length (s):
Perimeter (p):
Area (A):
Round to    decimal places.



Construction of an intercircle quadrangle
Construction of an intercircle quadrangle.

Formulas:
a = b + 2r
h = i + j
l = 2 * ( r - √ r² - i² ) + b
m = 2 * ( r - √ r² - j² ) + b
α = asin( i / r ) + asin( j / r ), α in rad
n = α * r
k = r * [ 1 - cos( α / 2 ) ]
s = 2 * √ 2 * r * k - k²
p = l + m + 2n
A = ( l + m ) / 2 * h - r * n + s * ( r - k )

Radius, heights, lengths and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).



Last updated on 02/12/2026.

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Cite this page: Rechneronline (2026) - Intercircle Quadrangle.
Retrieved on 2026-05-18 from https://rechneronline.de/pi/intercircle-quadrangle.php




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