Rounded Corner Rectangle

• Rounded corner rectangle (a two-dimensional figure) is a quadrilateral with two pair of parallel edges and rounded corners.
• Diagonal is a line from one vertices to another that is non adjacent.

• Tags: Quadrilateral

Rounded Corner Rectangle Index

• Area of a Rounded Corner Rectangle
• Diagonal of a Rounded Corner Rectangle
• Perimeter of a Rounded Corner Rectangle

 

Area of a Rounded Corner Rectangle formula
\( A_{area} = a \; b - r^2 \; \left( 4 - \pi \right)  \)
Symbol	English	Metric
\( A_{area} \) = area	\( in^2\)	\( mm^2 \)
\( r \) = corner radius	\( in\)	\( mm \)
\( a, b, c, d \) = edge	\( in\)	\( mm \)
\( \pi \) = Pi	\(3.141 592 653 ...\)

 

Diagonal of a Rounded Corner Rectangle formula
\( D' =  \sqrt{ \left( a - 2\;r \right)^2 +  \left( b - 2\;r \right)^2 } + 2\;r   \)
Symbol	English	Metric
\( D' \) = diagonal	\( in\)	\( mm \)
\( r \) = corner radius	\( in\)	\( mm \)
\( a, b, c, d \) = edge	\( in\)	\( mm \)

 

Perimeter of a Rounded Corner Rectangle formula
\( p = 2 \; \left[  a + b - r^2 \; \left( 4 - \pi \right) \right]  \)
Symbol	English	Metric
\( p \) = perimeter	\( in\)	\( mm \)
\( r \) = corner radius	\( in\)	\( mm \)
\( a, b, c, d \) = edge	\( in\)	\( mm \)
\( \pi \) = Pi	\(3.141 592 653 ...\)