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There is a lengthy reason but the result is a slight modification of the sector formula.
Area of i section. The centroidal locations of common cross sections are well documented so it is typically not necessary to calculate the location with the equations above. The area of a segment is the area of a sector minus the triangular piece shown in light blue here. Area is the numerical measurement of the surface expanse of a planar surface.
Area of segment θ sin θ 2 r 2 when θ is in radians area of segment θ π 360 sin θ 2 r 2 when θ is in degrees. When the angle at the centre is 360 area of the sector i e the complete circle πr when the angle at the center is 1 area of the sector frac pi r 2 360 0. A cross section of any object is an intersection of a plane with that three dimensional object with the plane being perpendicular to the longest axis of symmetry passing.
A area of a sector π 3 141592654. It is generally measured in square meters square centimeters or square feet. The area of the sector can be obtained by multiplying the circle s area by the ratio of the angle θ expressed in radians and 2 π because the area of the sector is directly proportional to its angle and 2 π is the angle for the whole circle in radians.
To find the segment area you need the area of triangle idk so you can subtract it from the area of sector idk. The area of the sector is about 28 percent of the area of the whole circle if you don t know the measurement of the central angle but you know what fraction of the circle the sector is determine the measurement of the angle by multiplying that fraction by 360. A side mm m in i y a 4 12 2b solid rectangular cross section.
About area of a sector calculator. A π r 2 θ 2 π r 2 θ 2. The area moment of inertia for a solid square section can be calculated as.
The area moment of ineria for a rectangular section can be calculated as. Solid square cross section. What is the area of sector formula.
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