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Quarter-circular area [2] ... a = the radius of the base circle h = the height of the semi-ellipsoid from the base cicle's center to the edge Solid ...
The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and because the sequence tends to a circle, the corresponding formula–that the area is half the circumference times the radius–namely, A = 1 / 2 × 2πr × r, holds for a circle.
In the following equations, denotes the sagitta (the depth or height of the arc), equals the radius of the circle, and the length of the chord spanning the base of the arc. As 1 2 l {\displaystyle {\tfrac {1}{2}}l} and r − s {\displaystyle r-s} are two sides of a right triangle with r {\displaystyle r} as the hypotenuse , the Pythagorean ...
The rhombus is often called a "diamond", after the diamonds suit in playing cards which resembles the projection of an octahedral diamond, or a lozenge, though the former sometimes refers specifically to a rhombus with a 60° angle (which some authors call a calisson after the French sweet [1] —also see Polyiamond), and the latter sometimes ...
Area#Area formulas – Size of a two-dimensional surface; Perimeter#Formulas – Path that surrounds an area; List of second moments of area; List of surface-area-to-volume ratios – Surface area per unit volume; List of surface area formulas – Measure of a two-dimensional surface; List of trigonometric identities
As an example, the area is one quarter the circle when θ ~ 2.31 radians (132.3°) corresponding to a height of ~59.6% and a chord length of ~183% of the radius. [ clarification needed ] Etc.
The weight of a diamond is one of these variables that determines a diamond’s worth and is what the general public is most familiar with. The unit of measurement, called the carat, equals 200 ...
(), and the radius of the horizontal cross-section of the sphere at height above the "equator" is . ( 2 ) {\displaystyle {\sqrt {R^{2}-y^{2}}}.\qquad \qquad (2)} The cross-section of the band with the plane at height y {\displaystyle y} is the region inside the larger circle of radius given by (2) and outside the smaller circle of radius given ...