Circle Arc Square

Written by Jerry Ratzlaff on . Posted in Plane Geometry

  • circle arc square 1Circle arc square (a two-dimensional figure) has four equal length arcs bound by circles.
  • a = b = c = d
  • 4 arcs
  • 4 vertexs

Arc Length of a Circle Arc Square formula

\(\large{ n =  \frac{2\; \pi \;r}{4}   }\)

Where:

\(\large{ n }\) = arch length

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

\(\large{ r }\) = radius

Area of a Circle Arc Square formula

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

Where:

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

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

\(\large{ r }\) = radius

Diagonal of a Circle Arc Square formula

\(\large{ d' = \left( 2\; \sqrt{2} - 2 \right) \; r  }\)

Where:

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

\(\large{ r }\) = radius

Perimeter of a Circle Arc Square formula

\(\large{ p = 2\; \pi \;r  }\)

Where:

\(\large{ p }\) = perimeter

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

\(\large{ r }\) = radius