# auto generate barcode vb net Properties and Theorems in Visual Studio .NET Creating Quick Response Code in Visual Studio .NET Properties and Theorems

Properties and Theorems
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A circle contains 360 . A semicircle contains 180 . A central angle is equal in degrees to its intercepted arc. An inscribed angle is equal in degrees to one-half its intercepted arc. An angle inscribed in a semicircle is a right angle. In a circle, if a diameter is perpendicular to a chord, it bisects the chord and its arc. In a circle, two chords that are equal are equidistant from the center of the circle. In a circle, two chords that are equidistant from the center of the circle are equal. A tangent to a circle is perpendicular to the radius drawn to the point of tangency. If a triangle is inscribed in a semicircle, then the triangle is a right triangle. In a plane, if a line is perpendicular to a radius of a circle at its endpoint on the circle, then the line is tangent to the circle. The line segment joining an external point to the center of a circle bisects the angle formed by the two tangents to the circle from that point. The lengths of the two tangent segments from an external point to a circle are equal. If two secants intersect in the interior of a circle, then the angle formed is equal in degrees to onehalf the sum of the arcs intercepted by it and its vertical angle. If a line through the center of a circle bisects a chord that is not a diameter, then it is perpendicular to the chord. The circumference C of a circle is equal to The area K of a circle is equal to times the diameter d; i.e., C
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1 2 d.
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d. r2.
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The radius r of a circle is equal to one-half the diameter d; i.e., r =
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times the radius r squared; i.e., K
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CHAPTER 12 APPENDIX 2
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Tables
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Table 1 Trigonometric Functions Angle in 10-Minute Intervals
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0 0 0 10 0 20 0 30 0 40 0 50 1 0 l 10 l 20 l 30 l 40 l 50 2 0 2 10 2 20 2 30 2 40 2 50 30 3 10 3 20 3 30 3 40 3 50
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sin A
0.0000 0.0029 0.0058 0.0087 0.0116 0.0145 0.0175 0.0204 0.0233 0.0262 0.0291 0.0320 0.0349 0.0378 0.0407 0.0436 0.0465 0.0494 0.0523 0.0552 0.0581 0.0610 0.0640 0.0669
cos A
1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 0.9998 0.9998 0.9997 0.9997 0.9996 0.9995 0.9994 0.9993 0.9992 0.9990 0.9989 0.9988 0.9986 0.9985 0.9983 0.9981 0.9980 0.9978
tan A
0.0000 0.0029 0.0058 0.0087 0.0116 0.0145 0.0175 0.0204 0.0233 0.0262 0.0291 0.0320 0.0349 0.0378 0.0407 0.0437 0.0466 0.0495 0.0524 0.0553 0.0582 0.0612 0.0641 0.0670
cot A
Undefined 343.7730 171.8850 114.5880 85.9396 68.7499 57.2901 49.1040 42.9641 38.1885 34.3678 31.2416 28.6363 26.4316 24.5418 22.9038 21.4704 20.2055 19.0811 18.0750 17.1694 16.3499 15.6048 14.9244
sec A
1.0000 1.0000 1.0000 1.0000 1.0001 1.0001 1.0002 1.0002 1.0003 1.0003 1.0004 1.0005 1.0006 1.0007 1.0008 1.0010 1.0011 1.0012 1.0014 1.0015 1.0017 1.0019 1.0021 1.0022
csc A
Undefined 343.7740 171.8880 114.5930 85.9454 68.7572 57.2989 49.1142 42.9758 38.2016 34.3823 31.2576 28.6537 26.4505 24.5621 22.9256 21.4937 20.2303 19.1073 18.1026 17.1984 16.3804 15.6368 14.9579 90 0 89 50 89 40 89 30 89 20 89 10 89 0 88 50 88 40 88 30 88 20 88 10 88 0 87 50 87 40 87 30 87 20 87 10 87 0 86 50 86 40 86 30 86 20 86 10
cos A
sin A
cot A
tan A
csc A
sec A
APPENDIX 2 Tables
40 4 10 4 20 4 30 4 40 4 50 50 5 10 5 20 5 30 5 40 5 50 60 6 10 6 20 6 30 6 40 6 50 70 7 10 7 20 7 30 7 40 7 50 80 8 10 8 20 8 30 8 40 8 50 90 9 10 9 20 9 30 9 40 9 50
sin A
0.0698 0.0727 0.0756 0.0785 0.0814 0.0843 0.0872 0.0901 0.0929 0.0958 0.0987 0.1016 0.1045 0.1074 0.1103 0.1132 0.1161 0.1190 0.1219 0.1248 0.1276 0.1305 0.1334 0.1363 0.1392 0.1421 0.1449 0.1478 0.1507 0.1536 0.1564 0.1593 0.1622 0.1650 0.1679 0.1708