# 4 Connecting Circles

Written by Jerry Ratzlaff on . Posted in Plane Geometry

• 4 connecting circles (a two-dimensional figure) has four equal length arcs connecting at the vertices 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