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" TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR. "
Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ... - Page 69
by Elias Loomis - 1859 - 150 pages
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The American Arithmetic: Adapted to the Currency of the United States; to ...

Oliver Welch - 1857 - 244 pages
...the arc ; AD, or DB the radii. RULE. — Find the length of the arc AGB ; to do which say as 1 80°, is to the number of degrees in the arc, so is the radius multiplied by 3*1416, to the length of the arc : having found the length of the arc, multiply...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - 1815 - 388 pages
...urea of a SECTOH of a circle. 34. Multiply the radius into half the length of the arc, Or, A* 360, to the number of degrees in the arc ; So is the area of the circle, to the area of the sector. . , It is evident, that the area of the sector has the same ratio to the area of the circle, which...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - 1824 - 440 pages
...area of a SECTOR of a circle. 34. MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR. It is evident, that the area of the sector has the same ratio to the area of the circle, which the...
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A Treatise on the New Method of Land Surveying, with the Improved Plan of ...

Thomas Hornby (land surveyor.) - 1827 - 318 pages
...series, see most writers on Fluxions. PROBLEM 8. * To find the Length of any Circular Arc. RULE I. As 360 is to the number of degrees in the arc, so is the whole circumference to the length of the arc. Note. — The number of degrees in the arc is found byTrigonometry...
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A Concise System of Mathematics ...

Alexander Ingram - 1830 - 458 pages
...arc, and work as before. Or find the area of the circle : then, as 360° to the angle of the sector, so is the area of the circle to the area of the sector. 1. Required the area of a sector, of which the arc is 79, and the radius of the circle 47 yards. 39-5...
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A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - 1831 - 418 pages
...area of a SECTOR of a circle. 34. MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC ; SO IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR. It is evident, that the area of the sector has the same ratio to the area of the circle, which the...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - 1831 - 520 pages
...area of a SECTOR of a circle. 34. MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR. It is evident, that the area of the sector has the same ratio to the area of the circle, which the...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 pages
...the area of a sector of a circle. Multiply the radius into half the length of the arc. Or, as 360° to the number of degrees in the arc ; so is the area of the circle, to the area of the sector. To find the area of the segment of a circle. Find the area of the sector which has the same arc, and...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - 1836 - 418 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE 4Kc. Or, As 330, TO THE NUMBER OF DEGREES IN THE AKC ; $O IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR. It is evident, that the area of the sector has the same ratio to die area of the circle, which the...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - 1838 - 416 pages
...area of a SECTOR of a circle. 34. MULTIPLY THE RADIUS INTO HALF THE LENGTH OP THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC ] So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR. It is evident, that the area of the sector has the same ratio to the area of the circle, which the...
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