# Rounded Corner Rectangle

on . Posted in Plane Geometry

• 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 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 $$\large{3.141 592 653 ...}$$ 