Second Moment of Area of a Circle Segment formulas |
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\( I_{x} \;=\; \dfrac{ r^4 }{ 8 } \cdot \left( \Delta - sin( \Delta) + 2 \cdot sin( \Delta) \cdot sin^2 \left( \dfrac{ \Delta }{ 2 } \right) \right) \) \( I_{y} \;=\; \dfrac{ r^4 }{ 24 } \cdot \left( 3 \cdot \Delta - 3 \cdot sin( \Delta) - 2 \cdot sin( \Delta) \cdot sin^2 \left(\dfrac{ \Delta }{ 2 } \right) \right) \) |
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| Symbol | English | Metric |
| \( I \) = moment of inertia | \( in^4 \) | \( mm^4 \) |
| \( \Delta \) = angle | \( deg \) | \( rad \) |
| \( r \) = radius | \( in \) | \( mm \) |
