Rounded Corner Rectangle

Written by Jerry Ratzlaff 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.

Area of a Rounded Corner Rectangle formula

\( \large{ A_{area} = a \; b - r^2 \; \left( 4 - \pi \right)  }\)

Where:

\(\large{ A_{area} }\) = area

\(\large{ r }\) = corner radius

\(\large{ a, b, c, d }\) = edge

\(\large{ \pi }\) = Pi

Diagonal of a Rounded Corner Rectangle formula

\( \large{ D' =  \sqrt{ \left( a - 2\;r \right)^2 +  \left( b - 2\;r \right)^2 } + 2\;r   }\)

Where:

\(\large{ D' }\) = diagonal

\(\large{ r }\) = corner radius

\(\large{ a, b, c, d }\) = edge

Perimeter of a Rounded Corner Rectangle formula

\( \large{ p = 2 \; \left[  a + b - r^2 \; \left( 4 - \pi \right) \right]  }\)

Where:

\(\large{ p }\) = perimeter

\(\large{ r }\) = corner radius

\(\large{ a, b, c, d }\) = edge

\(\large{ \pi }\) = Pi