# 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.

### 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 $$3.141 592 653 ...$$