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  2. Surface area - Wikipedia

    en.wikipedia.org/wiki/Surface_area

    A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...

  3. Surface-area-to-volume ratio - Wikipedia

    en.wikipedia.org/wiki/Surface-area-to-volume_ratio

    Increased surface area can also lead to biological problems. More contact with the environment through the surface of a cell or an organ (relative to its volume) increases loss of water and dissolved substances. High surface area to volume ratios also present problems of temperature control in unfavorable environments. [citation needed]

  4. Spherical lune - Wikipedia

    en.wikipedia.org/wiki/Spherical_lune

    In spherical geometry, a spherical lune (or biangle) is an area on a sphere bounded by two half great circles which meet at antipodal points. [1] It is an example of a digon, {2} θ, with dihedral angle θ. [2] The word "lune" derives from luna, the Latin word for Moon.

  5. Word problem (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics...

    Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.

  6. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    The formula for the surface area of a sphere is more difficult to derive: because a sphere has nonzero Gaussian curvature, it cannot be flattened out. The formula for the surface area of a sphere was first obtained by Archimedes in his work On the Sphere and Cylinder. The formula is: [6] A = 4πr 2 (sphere), where r is the radius of the sphere.

  7. Orders of magnitude (area) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(area)

    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 ...

  8. Fix problems reading or receiving AOL Mail

    help.aol.com/articles/fix-problems-reading-or...

    If you're having problems reading and retrieving your AOL Mail, the following troubleshooting steps: Use AOL Basic Mail. AOL Basic Mail gives you a way to see your emails in a simpler layout. This can often help when you're having problems retrieving mail on a slower connection speed. Reset your web settings

  9. Quadrature (geometry) - Wikipedia

    en.wikipedia.org/wiki/Quadrature_(geometry)

    The area of the surface of a sphere is equal to four times the area of the circle formed by a great circle of this sphere. The area of a segment of a parabola determined by a straight line cutting it is 4/3 the area of a triangle inscribed in this segment. For the proofs of these results, Archimedes used the method of exhaustion attributed to ...

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