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.

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

 

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

 

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