Cylindrical Sector Calculator
Calculator and formulas for calculating a cylindrical sector
This function calculates the volume and surface area of a cylinder sector.
To calculate the sector, enter the radius, angle and height. Then click the 'Calculate' button.
The angle \(φ\) should be given in degrees.
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Cylinder sector formulas
Surface \(\small{S}\)
The total surface (S) includes the lateral surface and the side surfaces and the surfaces of the sector caps. Remember that the angle \(φ\) should be given in degrees.
\(\displaystyle S = \frac{2 \cdot \pi \cdot r^2 \cdot φ}{360}\) \(\displaystyle + 2 \cdot r \cdot h +\frac{2 \cdot π \cdot r \cdot h \cdot φ }{360} \) \(\displaystyle \ \ \ =2\cdot A_B + 2 \cdot A_S + L \)
Lateral surface \(\small{L}\)
\(\displaystyle L = \frac{2 \cdot π\cdot r\cdot h \cdot φ }{360} \)
Base area \(\small{A_B}\)
\(\displaystyle A_B=\frac{r^2 \cdot \pi \cdot φ}{360} \)
Side area \(\small{A_S}\)
\(\displaystyle A_S=r \cdot h \)
Volume \(\small{V}\)
\(\displaystyle V= \frac{π\cdot r^2\cdot h \cdot φ}{360} \)
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