Circle Corner

area of a Circle Corner formula
$A \;=\; \dfrac{ a\cdot b - r \cdot L + c \cdot (r - h) }{ 2 }$
Symbol	English	Metric
$A$ = area	$ft^2$	$m^2$
$L$ = arc length	$ft$	$m$
$c$ = chord length	$ft$	$m$
$a, b$ = edge	$ft$	$m$
$r$ = radius	$ft$	$m$
$h$ = segment height	$ft$	$m$

Circle corner (a two-dimensional figure) is a right triangle having acute vertices on a circle with the hypotenuse outside the circle.

Chord is a line segment on the interior of a circle.

Segment of a circle is an interior part of a circle bound by a chord and an arc.

Arc Length of a Circle Corner formula
$L \;=\; r \cdot \Delta$
Symbol	English	Metric
$L$ = arc length	$ft$	$m$
$\Delta$ = angle	$deg$	$rad$
$r$ = radius	$ft$	$m$

Chord Length of a Circle Corner formula
$c \;=\; a^2 \cdot b^2$
Symbol	English	Metric
$c$ = chord length	$ft$	$m$
$a, b$ = edge	$ft$	$m$

Height of a Circle Corner formula
$h \;=\; r \cdot \left( 1 - cos \left( \dfrac{\Delta}{2} \right) \right)$
Symbol	English	Metric
$h$ = segment height	$ft$	$m$
$\Delta$ = segment angle	$deg$	$rad$
$r$ = radius	$ft$	$m$

Perimeter of a Circle Corner formula
$p \;=\; a + b + L$
Symbol	English	Metric
$p$ = perimeter	$ft$	$m$
$L$ = arc length	$ft$	$m$
$a, b$ = edge	$ft$	$m$

Segment Angle of a Circle Corner formula
$\Delta \;=\; arccos \left( \dfrac{2\cdot r^2 - c^2 }{ 2\cdot r^2 } \right)$
Symbol	English	Metric
$\Delta$ = segment angle	$deg$	$rad$
$c$ = chord length	$ft$	$m$
$r$ = radius	$ft$	$m$