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When the length of an arc of a circle is equal to the radius of the circle, the angle subtended by that arc equals one radian.

ra·di·an

(rā′dē-ən)
A unit of angular measure equal to the angle subtended at the center of a circle by an arc equal in length to the radius of the circle, approximately 57°17′44.6".

(ˈreɪdɪən)
n
(Units) an SI unit of plane angle; the angle between two radii of a circle that cut off on the circumference an arc equal in length to the radius. 1 radian is equivalent to 57.296 degrees and π/2 radians equals a right angle. Symbol: rad
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

ra•di•an

(ˈreɪ di ən)

n.
the measure of a central angle subtending an arc equal in length to the radius: equal to 57.2958°. Abbr.: rad
[1875–80]

ra·di·an

(rā′dē-ən)
A unit of angular measure equal to a little more than 57°. This is the measure of an angle whose vertex is the center of a circle and whose two rays intersect the circle so as to form an arc with the same length as the circle's radius.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 radian - the unit of plane angle adopted under the Systeme International d'Unites; equal to the angle at the center of a circle subtended by an arc equal in length to the radius (approximately 57.295 degrees)radangular unit - a unit of measurement for anglesmilliradian - a unit of angular distance equal to one thousandth of a radian
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
радиан

[ˈreɪdɪən] n
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
The presentation, which will be webcast live with an accompanying slide presentation, can be accessed by visiting https://event.webcasts.com/viewer/event.jsp?ei=1258675&tp_key=f33c34fb11 or Radian?s website at http://www.radian.biz/page?name=Webcasts.
The board of directors of Radian Group Inc (NYSE:RDN) has authorised a regular common stock dividend of USD0.0025 per share for the quarter, the company declared on Wednesday.
US-based Radian Group has announced that it is to re-brand EnTitle Direct, a title insurance and settlement services firm.
Radian Group announced the addition of two new members to its board and the future retirement of one director upon completion of his current term.
Through the Radian Lip Sync Challenge and the online giving portal, Radian encouraged industry leaders and companies to record and lip sync to their favorite Kelly Clarkson song and make a donation to this worthy cause.
The total primary mortgage insurance in force as of the end of this year's second quarter grew to \$177.7 billion, according to Radian. That compares with \$172.7 billion in the second quarter of 2015.
The co-sponsors are: Al Aziziyah Islamic Center (Sheikh Ahmad & Sheikh Ali Ajlani), Mandhoubiyah Islamic Propagation Office, Jeddah Dawah Center, Giordano Fashions (Ahmadullah), Ric Santos Printing, Radian Massage Cream (Mahmoud Omer), Kabayan Gents Tailoring and Arab News.
Radian more than halved its provision for losses to \$137.6 million in the fourth quarter compared with the year-earlier period.
Philadelphia-based Radian today reported net income of \$36.4 million, after a \$177.3 million loss in the last three months of 2012.
Radian Group, headquartered in Philadelphia, provides private mortgage insurance and related risk mitigation products and services to mortgage lenders nationwide through its principal operating subsidiary, Radian Guaranty Inc.

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