Rounded Corner Rectangle

on . Posted in Plane Geometry

  • rounded corner rectangle 2Rounded 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 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 \(3.141 592 653 ...\)

 

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Tags: Quadrilateral