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acre-inch: ≡ 1 ac × 1 in ... The solid angle subtended at the center of a sphere of radius r by a portion of the sphere having an area r 2. ... ≈ 5.1 4 × 10 − ...
Surface area of a Dyson sphere with a radius of 1 AU 10 24: 1 yotta square meter (m 2) 1 square terametre (Tm 2) 1.9 Tm 2: Area swept by Jupiter's orbit around the Sun 6.4 Tm 2: Area swept by Saturn's orbit around the Sun 8.5 Tm 2: Surface area of the red supergiant star Betelgeuse: 10 25 24 Tm 2: Surface area of the hypergiant star VY Canis ...
US hat size is the circumference of the head, measured in inches, divided by pi, rounded to the nearest 1/8 inch. This corresponds to the 1D mean diameter. [1] Diameter at breast height is the circumference of tree trunk, measured at height of 4.5 feet, divided by pi. This corresponds to the 1D mean diameter.
r is the radius of the sphere, h is the height of the cap, and; sr is the unit, steradian, sr = rad 2. Because the surface area A of a sphere is 4πr 2, the definition implies that a sphere subtends 4π steradians (≈ 12.56637 sr) at its centre, or that a steradian subtends 1/4π ≈ 0.07958 of a sphere.
S 1: a 1-sphere is a circle of radius r; S 2: a 2-sphere is an ordinary sphere; S 3: a 3-sphere is a sphere in 4-dimensional Euclidean space. Spheres for n > 2 are sometimes called hyperspheres. The n-sphere of unit radius centered at the origin is denoted S n and is often referred to as "the" n-sphere. The ordinary sphere is a ...
For example, assuming the Earth is a sphere of radius 6371 km, the surface area of the arctic (north of the Arctic Circle, at latitude 66.56° as of August 2016 [7]) is 2π ⋅ 6371 2 | sin 90° − sin 66.56° | = 21.04 million km 2 (8.12 million sq mi), or 0.5 ⋅ | sin 90° − sin 66.56° | = 4.125% of the total surface area of the Earth.
39.37 inches; 3.28 feet; 1.1 yards; side of square with area 1 m 2; edge of cube with surface area 6 m 2 and volume 1 m 3; radius of circle with area π m 2; radius of sphere with surface area 4π m 2 and volume 4/3π m 3
In mathematics, a unit sphere is a sphere of unit radius: the set of points at Euclidean distance 1 from some center point in three-dimensional space. More generally, the unit n {\displaystyle n} -sphere is an n {\displaystyle n} -sphere of unit radius in ( n + 1 ) {\displaystyle (n+1)} - dimensional Euclidean space ; the unit circle is a ...