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An example of a spherical cap in blue (and another in red) In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane.It is also a spherical segment of one base, i.e., bounded by a single plane.
Solid hemisphere: r = the radius of the hemisphere Solid semi-ellipsoid of revolution around z-axis: a = the radius of the base circle h = the height of the semi-ellipsoid from the base cicle's center to the edge
Of a hemisphere [ edit ] The centroid of a solid hemisphere (i.e. half of a solid ball) divides the line segment connecting the sphere's center to the hemisphere's pole in the ratio 3 : 5 {\displaystyle 3:5} (i.e. it lies 3 8 {\displaystyle {\tfrac {3}{8}}} of the way from the center to the pole).
The magnitude of an object's solid angle in steradians is equal to the area of the segment of a unit sphere, centered at the apex, that the object covers.Giving the area of a segment of a unit sphere in steradians is analogous to giving the length of an arc of a unit circle in radians.
A diagram illustrating great-circle distance (drawn in red) between two points on a sphere, P and Q. Two antipodal points, u and v are also shown.. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them.
The equator divides the planet into a Northern Hemisphere and a Southern Hemisphere, and has a ... Length Of A Degree Of Latitude And Longitude Calculator; Esame ...
Defined by Wadell in 1935, [1] the sphericity, , of an object is the ratio of the surface area of a sphere with the same volume to the object's surface area: = where is volume of the object and is the surface area.
The full moon covers only about 0.2 deg 2 of the sky when viewed from the surface of the Earth. The Moon is only a half degree across (i.e. a circular diameter of roughly 0.5°), so the moon's disk covers a circular area of: π ( 0.5° / 2 ) 2, or 0.2 square degrees.