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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

(ray -dee-ăn) A unit of angle used in plane geometry that is the angle subtended at the center of a circle by an arc of the circle equal in length to the circle's radius. Thus 2π radians equals 360°, 1 radian equals 57°.296, and 1° equals 0.017 radians. Solid angles, used in spherical geometry, are measured in steradians.

the central angle subtended in a circle by an arc whose length is equal to the circle’s radius. A radian is approximately equal to 57°17′44.8″. The radian is used as the unit of measurement of angles in what is known as circular, or radian, measure. If the circular measure of an angle is a radians, the angle contains (180a/π)°. Conversely, if the degree measure of an angle is , the circular measure is πn/180 radians. For example, angles of 30°, 45°, 60°, 90°, and 180° correspond to angles of π/6, π/4, π/3, π/2, and π radians, respectively.

[′rād·ē·ən]
(mathematics)
The central angle of a circle determined by two radii and an arc joining them, all of the same length.

The angle subtended at the center of a circle by an arc equal in length to its radius. A radian is an SI (Système international d'unités, or international system) unit most commonly used in sight calculations and other aiming problems. Its short form is rad, and its value is equal to 57°17'44.8”, or one rad = 57.2958°.
References in periodicals archive ?
Radian Guaranty said it also deposited USD 205m in a collateral account to cover loss mitigation activity on these loans.
Radian Asset is also expected to pay an ordinary dividend of about \$50 million to the Radian Guaranty in July, and is expected to continue to provide support to the mortgage insurance unit, the company said.
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Radian said it relied on long-standing, written guidance from the US Department of Housing and Urban Development in structuring these captive reinsurance agreements and on analyses and opinions of reputable actuarial firms that the terms of Radian's reinsurance agreements met HUD's standards.
But yesterday, Moody's said it is downgrading parent company Radian Group's senior-debt rating to Caa2 from Caa1, reflecting "the holding company's constrained liquidity, the ongoing stress at its mortgage-insurance subsidiaries, and its upcoming debt maturities.
Because there is no single solution that will help every borrower, Radian is advancing funds to servicers so they can take the specific action required to keep borrowers in their homes rather than proceeding with a stressful and costly foreclosure process.
In her opening remarks, California State Attorney Rebecca Westmore stated that Radian Guaranty and Amerin Guaranty are only licensed to sell mortgage guaranty insurance in California, not title insurance; and RadianExpress.
Just like the iPhone([R]) and iPad([R]) version launched this past September, app users can simply input loan criteria and the app automatically calculates the MI rate for a variety of Radian products.
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This is exciting news because it's one more way Radian is working to accomplish one of our top priorities - making it easier than ever to do business with us," said Brien McMahon, Radian's chief franchise officer.
As program approaches one-year anniversary, more than 35,000 borrowers with Radian MI benefit from a HARP 2.

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