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" ... 1. To find the length of an arc of 30 degrees, the diameter being 18 feet. ' Ans. 4.712364. 2. To find the length of an arc of 12° 10', or 12£°, the diameter being 20 feet. "
Elements of Geometry and Trigonometry Translated from the French of A.M ... - Page 282
by Charles Davies - 1849 - 359 pages
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A Treatise on Surveying and Navigation: Uniting the Theoretical, Practical ...

Horatio Nelson Robinson - History - 1853 - 334 pages
...Ans. .18.846. 7. To find the length of an arc of 30 degrees, the radius being 9 feet. Ans. 4.7115. 8. To find the length of an arc of 12° 10', or 12% the radius being 10 feet. Ans. 2.1231. 9. What is the area of a circular sector whose arc is 1 8° and...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...multiplied by the diameter, the product is the length of the arc for any diameter whatever. REMARK. — When the arc contains degrees and minutes, reduce the minutes to the decimal of a degree, which is dot e by dividing them by 60. Ex. 1. To find the length of an arc of 30 degrees, the diameter being...
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Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...multiplied by the diameter, the product is the length of the arc for any diameter whatever. REMARK. — When the arc contains degrees and minutes, reduce the minutes to the decimal of a degree, which is doi•.e by dividing them by 60. Ex. 1. To find the length of an arc of 30 degrees, the diameter being...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1863 - 464 pages
...product by the diameter of the circle ; the result will ~be the length required. EXAMPLES. 1. What is the length of an arc of 30 degrees, the diameter being 18 feet? Ans. 4.712364 ft. 2. What is the length of an arc of 12° 10', or 12|°, the diameter being 20 feet ? Ans. 2.123472...
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Rudimentary treatise on mensuration and measuring

Thomas Baker (C.E.) - 1865 - 174 pages
...the arc BE, and JT = 3- 14 16, and / = length of the arc ; then r8 TT IA » /=— ,and r = EXAMPLES. 1 . To find the length of an arc of 30 degrees, the radius being 9 feet. By Rule I. 3-1416 9 180 : 30 : : 28-2744 : 47124 feet. 9x30x3-1416 3x3-1416 By...
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Rudimentary and Practical Instructions on the Science of Railway ...

Sir Rowland Macdonald Stephenson - Railroads - 1866 - 270 pages
...subtract the chord of the whole arc, and take J of the remainder for the length of the arc nearly. 1 . To find the length of an arc of 30 degrees, the radius being 9 feet. By Rule I. 3-1416 9 180 : so : : 28-2744 : 4-7124 feet. 2. The chord BE of the...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...number of degrees in the given arc by the radius of the circle, and divide the product by 57.29578. If the arc contains degrees and minutes, reduce the minutes to the decimal of a degree. EXAMPLES. 1. Required the length of the arc whose radius is 9, and the number of degrees 38° 56' 6"....
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Elementary and Practical Instructions on the Science of Railway Construction

Sir Rowland Macdonald Stephenson - Railroads - 1869 - 446 pages
...subtract the chord of the whole arc, and take J of the remainder for the length of the arc nearly. 1. To find the length of an arc of 30 degrees, the radius being 9 feet. By Eule I. 3-1416 9 180 : 30 : : 28-2744 : 4-7124 feet. 2. The chord BE of the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1871 - 490 pages
...What is the length of an arc of 30 degrees, the diameter being 18 feet? Ans. 4.712364 ft. 2. What is the length of an arc of 12° 10', or 12^°, the diameter beirtg 20 feet ? Ans. 2.123472 ft. To find the area of a circle. 105. From the principle demonstrated...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...product by the diameter of the circle; the result witt be the length required. EXAMPLES. 1. What is the length of an arc of 30 degrees, the diameter being 18 feet ? Ans. 4.712364 ft. 2. What is the length of an arc of 12° 10', or 12j°, the diameter being 20 feet ? Ans. 2.123472...
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