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" Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... "
Plane Trigonometry - Page 17
by Sidney Luxton Loney - 1893 - 480 pages
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Foundations of Computer Technology

Alexander John Anderson - Computers - 1994 - 456 pages
...equivalent to cycles per second, symbol is Hz. megahertz IO6 hertz, symbol MHz. radian one radian is the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle 1 radian= 57.296 degree approx. 1 80 degrees = n radians....
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Pure Mathematics: Trigonometry, Volume 2

Anthony Nicolaides - Mathematics - 1995 - 324 pages
...plastic transparent instrument with a centre and 180 equally spaced degrees. The Radian A radian is the angle subtended at the centre of a circle by an arc equal to the length of the radius. Rg. 2-1/3 To illustrate the radian further, draw a circle with a...
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Basic Principles of Physics

K. K. Mohindroo - Science - 1997 - 1000 pages
...radians/second (rad s~]). Its dimensions are T"1. Angular velocity is a vector quantity. One radian is the angle subtended at the centre of a circle by an arc of length equal to the radius of the circle. In general, if 9 (Fig. 5.44) is the angle subtended by...
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Guide to Laser Safety

A. Roy Henderson - Medical - 1997 - 264 pages
...divergence of well-collimated laser beams are concerned, in radians. An angle of one radian (1 rad) is the angle subtended at the centre of a circle by an arc around the circumference equal in length to the circle's radius (Figure 3.1). As the length of the...
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Heinemann Higher Mathematics

David Clarke - Mathematics - 1998 - 436 pages
...radius. • Mark an arc, with the same length as the radius, on the circumference. y = 4sm(x - 60)° (e) The angle subtended at the centre of a circle by an arc equal in length to the radius is 1 radian. To find the relationship between degrees and radians, consider...
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STP National Curriculum Mathematics, Volume 11, Part 1

L. Bostock - Mathematics - 1998 - 420 pages
...can. CIRCLE GEOMETRY Angles standing on the same arc of a circle and in the same segment are equal. The angle subtended at the centre of a circle by an arc is twice the angle subtended at the circumference by the same arc. The angle in a semicircle is a right...
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Physics for Engineering

Alphonso Hendricks, Loganathan Subramony, Charmaine Van Blerk - Science - 2000 - 444 pages
...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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Revise for Higher Mathematics

John Dalton - Mathematics - 1999 - 160 pages
...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...
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Core Maths for Advanced Level

L. Bostock, S. Chandler - Business & Economics - 2000 - 556 pages
...The area of AABC is \absinC, or \besmA, or \acsinB CIRCULAR MEASURE One radian (1c) is the size of the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle. The length of arc AB is r9. The area of sector AOB is...
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Pure Mathematics, Volume 1

Geoff Mannall, Michael Kenwood - Mathematics - 2000 - 292 pages
...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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