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" Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... "
A Manual of Mechanics: An Elementary Text-book Designed for Students of ... - Сторінка 61
автори: Thomas Minchin Goodeve - 1886 - 228 стор.
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Revise for Higher Mathematics

John Dalton - 1999 - 160 стор.
...360; Amplitude = a and period = b For y = a tan bx° 1 80° Amplitude cannot be measured and period = The angle subtended at the centre of a circle by an arc equal in length to the radius is 1 radian. л radians = 180 sin 0 0 30° n 6 1 45° n 4 1 60° n У /3 2...
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Physics for Engineering

Alphonso Hendricks, Loganathan Subramony, Charmaine Van Blerk - 2000 - 444 стор.
...radians. Fig 4.24 Let's define the radian, which is shown in Fig 4.24 above. One radian (1 rad) is the angle subtended at the centre of a circle by an arc, s, with a length equal to the radius of a circle, r. Fig 4.25 For any angle 9 that is subtended by...
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Core Maths for Advanced Level

L. Bostock, S. Chandler - 2000 - 556 стор.
...exercise). The perpendicular bisector of a chord of a circle goes through the centre of the circle. The angle subtended at the centre of a circle by an arc, is twice the angle subtended at the circumference by the same arc. All angles subtended at the circumference...
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Pure Mathematics, Том 1

Geoff Mannall, Michael Kenwood - 2000 - 292 стор.
...2 cos x = 0 33 sin 2 x + 3 cos 2 x = 2 34 3 sin x + 3 = cos 2 x SUMMARY OF KEY POINTS 1 1 radian is the angle subtended at the centre of a circle by an arc with length that is equal to the radius of the circle. 2 The length of an arc of a circle, radius r,...
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Understanding Engineering Mathematics

Bill Cox - 2001 - 560 стор.
...+ a) 6.2 Revision 6.2.1 Radian measure and the circle QHBEED As noted in Section 5.2.2, a radian is the angle subtended at the centre of a circle by an arc with length equal to that of the radius. It follows that 180 9 radians — 9 degrees 7T The length...
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Success at AQA Physics B A2

Ken Price, Gerard Kelly - 2001 - 156 стор.
...between them. Angles can be measured in degrees or radian (rad). Irad = 57° Figure 4.1 One radian is the angle subtended at the centre of a circle by an arc of length equal to the radius (see Figure 4.1). arc length angle in radian = — radius Since the total...
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Out of the Blue: A 24-Hour Skywatcher's Guide

John Naylor - 2002 - 388 стор.
...rather than degrees. Radians are an alternative system of angular measure. One radian is defined as the angle subtended at the centre of a circle by an arc equal in length to the radius. An angle measured in radians is thus Figure A2 Measuring an angle with an...
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AS Level Mathematics Through Diagrams

Dick Russell, Juli Beales - 2002 - 206 стор.
...need to reproduce the calculus definition of a radian for AS-Level. Definition arc = r A radian is the angle subtended at the centre of a circle by an arc of length equal to the radius. Important results are: 2 TT radians = 360° T7 radians = 180° The circumference...
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Physics for Geologists, Second Edition

Richard Chapman - 2002 - 180 стор.
...into 60 minutes (') and each minute into 60 seconds ("). But the radian is more fundamental, being the angle subtended at the centre of a circle by an arc of the circumference that is equal in length to its radius. So there are 2jt radians in a circle of...
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Science for Engineering

John Bird - 2003 - 381 стор.
...a circle whose perimeter is 149.8cm. 12.3 Arc length and area of a sector One radian is defined as the angle subtended at the centre of a circle by an arc equal in length to the radius. With reference to Fig. 12.5, for arc length s, radians = s/r or arc length,...
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