# 3 Connecting Circles

on . Posted in Plane Geometry

• 3 connecting circles (a two-dimensional figure) has three equal length arcs connecting at the vertices bound by circles.
• a = b = c
• 3 arcs
• 3 vertexs

### Arc Length of a Circle Arc Triangle formula

$$n \;=\; \frac{\pi}{3} \;r$$
Symbol English Metric
$$n$$ = arc length $$ft$$ $$m$$
$$\pi$$ = Pi $$3.141 592 653 ...$$
$$r$$ = radius $$ft$$ $$m$$

### Area of a Circle Arc Triangle formula

$$A_{area} \;=\; ( \sqrt{ \frac{3}{2} } + 3 ) \; ( r^2 - 3\;r\;n - 3\;r\;i ) \;/\;2$$
Symbol English Metric
$$A_{area}$$ = area $$ft^2$$ $$m^2$$
$$i$$ = arc insert $$ft$$ $$m$$
$$n$$ = arc length $$ft$$ $$m$$
$$r$$ = radius $$ft$$ $$m$$

### Insert of a Circle Arc Triangle formula

$$i \;=\; 1 - \sqrt{ \frac{3}{2} } \; r$$
Symbol English Metric
$$i$$ = arc insert $$ft$$ $$m$$
$$r$$ = radius $$ft$$ $$m$$

### Perimeter of a Circle Arc Triangle formula

$$P \;=\; 3\;n$$
Symbol English Metric
$$P$$ = perimeter $$ft$$ $$m$$
$$n$$ = arc length $$ft$$ $$m$$

Tags: Circle