Everything about Semicircle totally explained
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.
Uses
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, 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).
Further Information
Get more info on 'Semicircle'.
|
External Link Exchanges
Do you know how hard it is to get a link from a large encyclopaedia? Well we're different and will prove it. To get a link from us just add the following HTML to your site on a relevant page:
<a href="http://semicircle.totallyexplained.com">Semicircle Totally Explained</a>
Then simply click through this link from your web page. Our crawlers will verify your link, extract the title of your web page and instantly add a link back to it. If you like you can remove the words Totally Explained and embed the link in article text.
As long as your link remains in place, we'll keep our link to you right here. Please play fair - our crawlers are watching. Your site must be closely related to this one's topic. Any kind of spamming, dubious practises or removing the link will result in your link from us being dropped and, potentially, your whole site being banned. |
