Calculations at a right circular cylindrical sector (pie slice). A cylindrical sector is a segment of a cylinder cut out by two straight lines from the center of one base perpendicular to the other base. It is a generalized cylinder based on a circular sector.
Enter radius, height and angle and choose the number of decimal places. Then click Calculate. Angles are calculated and displayed in degrees, here you can convert angle units.
Formulas:
A = 2 π r² * Θ / 360° + 2 r h + 2 π r h * Θ / 360°
L = 2 π r h * Θ / 360°
V = π r² h * Θ / 360°
pi:
π = 3.141592653589793...
Radius and height have the same unit (e.g. meter), the areas have this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit -1. The lateral surface is the curved part of the surface area.
The cylindrical sector has the shape of a pie slice and is used accordingly for the three-dimensional visualization of pie charts. The cylindrical sector is mirror-symmetrical to the angle bisector through both bases and to the cutting plane, which runs parallel and in the middle between these two bases. It is also rotationally symmetrical at an angle of 180 degrees and multiples thereof to the angle bisector midway between the two bases. The lateral surface area and volume are a fraction of those of the former cylinder, corresponding to the proportion of the angle to the full circle. The surface area includes the two circular sectors as well as the two newly created areas of the rectangles with sides r and h. A cylindrical sector with an angle of 180 degrees is a half cylinder. At an angle of less than 180 degrees, the cylindrical sector is convex. At an angle of more than 180 degrees, it is concave, i.e., it has an inward bulge. The calculation formulas are the same in both cases.