3 Connecting Circles
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 |
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| \(\large{ n = \frac{\pi}{3} \;r }\) | ||
| 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 Triangle formula |
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| \(\large{ A_{area} = \frac{ \left( \sqrt{ \frac{3}{2} } \;+\; 3 \right) \; r^2 \;-\; 3\;r\;n \;-\; 3\;r\;i }{2} }\) | ||
| Symbol | English | Metric |
| \(\large{ A_{area} }\) = area | \(\large{ft^2}\) | \(\large{m^2}\) |
| \(\large{ i }\) = arc insert | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ n }\) = arc length | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ r }\) = radius | \(\large{ft}\) | \(\large{m}\) |
Insert of a Circle Arc Triangle formula |
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| \(\large{ i = 1 - \sqrt{ \frac{3}{2} } \; r }\) | ||
| Symbol | English | Metric |
| \(\large{ i }\) = arc insert | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ r }\) = radius | \(\large{ft}\) | \(\large{m}\) |
Perimeter of a Circle Arc Triangle formula |
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| \(\large{ P = 3\;n }\) | ||
| Symbol | English | Metric |
| \(\large{ P }\) = perimeter | \(\large{ft}\) | \(\large{m}\) |
| \(\large{ n }\) = arc length | \(\large{ft}\) | \(\large{m}\) |
Tags: Perimeter Arc Length