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" Multiply half the circumference by half the diameter, and the product will be the area. Or, divide the product of the whole circumference and diameter -by 4, and the quotient will be the area. 2. Multiply the square of the diameter by .7854, and the product... "
An essay on mechanical geometry, explanatory of a set of models - Page 65
by Benjamin Donne - 1796
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 256 pages
...15, required the length of the arc. Ans. 53.5800. PROBLEM XI. To find thf area of a circle. RULE I.* Multiply half the circumference by half the diameter, and the product will be the area. * Demon. A circle may be considered as a regular polygon of an infinite number of sides, the circumference...
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The millwright & engineer's pocket companion

William Templeton (engineer.) - 1833 - 224 pages
...equal to the radius. 6. — The area of a circle is to the square of the diameter as .7854 to 1 ; or, Multiply half the circumference by half the diameter, and the product will be the area. EXAMPLE 1. — Required the area of a circle, the diameter being 30.5. 30.5* x .7854 = 730.618350,...
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The Artificer's Complete Lexicon, for Terms Prices, Etc

John Bennett (Engineer) - 1833 - 488 pages
...PROBLEM XI. 24. To find the area of a circle, whose diameter and circumference are given. RULES. 1. Multiply half the circumference, by half the diameter, and the product will express the area. Or, 2. Multiply the circumference by the diameter, and a fourth part of the product...
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The Educational Magazine, Volume 2

Education - 1835 - 496 pages
...circumference, and is the greatest space that can be inclosed under one line. TO FIND THE AREA OF A CIRCLE. Multiply half the circumference by half the diameter, and the product will be the area. The diameter of a circle being given to find the circumference. As 7 : 22: : so is the diameter to...
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A New System of Arithmetick: In which the Rules are Familiarly Demonstrated ...

William Ruger - Arithmetic - 1836 - 274 pages
...£237 10s. id. To find the area of a circle, the circumference and diam'eter being given. RULE. — Multiply half the circumference by half the diameter, and the product will be the area. Or multiply the whole circumference by the whole diameter, and one fourth of the product will be the...
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Practical Mercantile Arithmetic: In which the Theory and Practice of ...

Luther Ainsworth - Arithmetic - 1837 - 298 pages
...Q. Having the circumference and diameter of a circle given, by what RULE do you find its area ? A. Multiply half the circumference by half the diameter, and the product will be the area. Q. If the diameter alone be given, how can you find [the area, without finding the circumference ?...
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The parent's guide to a liberal ... education; containing a selection of ...

Robert Simson (master of Colebrooke house acad, Islington.) - 1838 - 206 pages
...62.832 X .31831 = 20 as before. The area of a circle is to the square of the diameter as .7854 to 1 ; or multiply half the circumference by half the diameter and the product will be the area. Required the area of a circle the diameter being 30.5. 30.52 X'7854 = 730.618350, the area required....
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The Private Instructor, Or Mathematics Simplified: Comprising Every Thing ...

Jason M. Mahan - Arithmetic - 1839 - 312 pages
...circle given, to find the area ; or the area given, to find the diameter or circumference. RULE. 1. Multiply half the circumference by half the diameter, and the product will be the area. Or multiply the square of the diameter by .7854, and the product will be the area. Or multiply the...
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Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker - 1841 - 486 pages
...diameter, and m the multiplying decimal -7854. RULE II. When the Diameter and Circumference are both given. Multiply half the circumference by half the diameter, and the product will be the area. Or, multiply the whole circumference by the whole diameter, and divide the product by 4 ; the quotient...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1848 - 320 pages
...15, required the length of the arc. Ans. 53.5800, PROBLEM XL To find the area of a circle. RULE I.* Multiply half the circumference by half the diameter, and the product will be the area. * Demon. A circle may lx- considered as a regular polygon of an infinite number of sides, the circumference...
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