# 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

$$\large{ n = \frac{2\; \pi \;r}{4} }$$
Symbol English Metric
$$\large{ n }$$ = arc length $$\large{ft}$$ $$\large{m}$$
$$\large{ \pi }$$ = Pi $$\large{3.141 592 653 ...}$$
$$\large{ r }$$ = radius $$\large{ft}$$ $$\large{m}$$

## Area of a Circle Arc Square formula

$$\large{ A_{area} = \left( 4 - \pi \right) \; r^2 }$$
Symbol English Metric
$$\large{ A }$$ = area $$\large{ft}$$ $$\large{ft}$$
$$\large{ \pi }$$ = Pi $$\large{3.141 592 653 ...}$$
$$\large{ r }$$ = radius $$\large{ft}$$ $$\large{ft}$$

## Diagonal of a Circle Arc Square formula

$$\large{ d' = \left( 2\; \sqrt{2} - 2 \right) \; r }$$
Symbol English Metric
$$\large{ r }$$ = radius $$\large{ft}$$ $$\large{m}$$
$$\large{ \pi }$$ = Pi $$\large{3.141 592 653 ...}$$
$$\large{ d^' }$$ = diagonal $$\large{ft}$$ $$\large{m}$$

## Perimeter of a Circle Arc Square formula

$$\large{ p = 2\; \pi \;r }$$
Symbol English Metric
$$\large{ p }$$ = perimeter $$\large{ft}$$ $$\large{m}$$
$$\large{ \pi }$$ = Pi $$\large{3.141 592 653 ...}$$
$$\large{ r }$$ = radius $$\large{ft}$$ $$\large{m}$$