- A half of a circle as divided by a diameter.
- An object or arrangement of objects or people in the shape of half a circle.
Dictionary:
sem·i·cir·cle (sĕm'ĭ-sûr'kəl) ![]() |
| 5min Related Video: semicircle |
| Veterinary Dictionary: semicircular |
Shaped like a half-circle.
| Word Tutor: semicircle |
She liked that the moon looked like a semicircle.
| Wikipedia: Semicircle |
In mathematics (more specifically geometry), a semicircle is a two-dimensional geometric shape that forms half of a circle. Being half of a circle's 360°, the arc of a semicircle always measures 180°. A triangle inscribed in a semicircle is always a right triangle.
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A semicircle can be used to construct arithmetic and geometric means of two lengths using straight-edge and compass. If we make a semicircle with a diameter of a+b, then the length its radius is the arithmetic mean (since it's half of the diameter). The geometric mean can be found by dividing the diameter into two segments of lengths a and b, and then connecting their common end and the semicircle with a segment perpendicular to the diameter. The length of the resulting segment is the geometric mean[1], which can be proved using Pythagorean theorem.
This method can be used to accomplish quadrature of a rectangle (since a square whose sides are equal to geometric mean of sides of a rectangle has the same area as the rectangle), and thus any figure for which we can construct a rectangle with equal area, such as any polygon (but not a circle).
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| Translations: Semicircle |
Dansk (Danish)
n. - halvcirkel
Nederlands (Dutch)
halve cirkel
Français (French)
n. - demi-cercle
Deutsch (German)
n. - Halbkreis
Ελληνική (Greek)
n. - ημικύκλιο
Italiano (Italian)
semicerchio
Português (Portuguese)
n. - semicírculo (m)
Русский (Russian)
полуокружность, полукруг
Español (Spanish)
n. - semicírculo
Svenska (Swedish)
n. - halvcirkel
中文(简体)(Chinese (Simplified))
半圆, 半圆形, 半圆弧
中文(繁體)(Chinese (Traditional))
n. - 半圓, 半圓形, 半圓弧
日本語 (Japanese)
n. - 半円, 半円形, 半円形のもの
العربيه (Arabic)
(الاسم) نصف دائرة
עברית (Hebrew)
n. - חצי-עיגול, חצי-מעגל
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| Best of the Web: semicircle |
Some good "semicircle" pages on the web:
Math mathworld.wolfram.com |
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| geomagnetic meridian (geophysics) | |
| salinon (mathematics) |
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Copyrights:
![]() | Dictionary. The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2009. Published by Houghton Mifflin Company. All rights reserved. Read more | |
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![]() | Wikipedia. This article is licensed under the Creative Commons Attribution/Share-Alike License. It uses material from the Wikipedia article "Semicircle". Read more | |
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