 | Samuel Webber - Mathematics - 1808 - 466 pages
...square feet does a circle contain, the cir~' cumference being 10* 9956 yards ? PR0BLEM XII. Tofind the area of a sector of a circle. RULE I.* .. Multiply the radius, or half the diameter, by half the arc of the sector for the area. Or, take i of the product... | |
 | Oliver Welch - Arithmetic - 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... | |
 | Anthony Nesbit - Surveying - 1824 - 476 pages
...feeding all round, May not graze less or more than an acre of ground ? Ann. 39.25068 yards. PROBLEM XVI. To find the area of a sector of a circle. RULE I. Multiply the length of the arc by the radius of the sector, and half the product will be the area. Jfote 1. The... | |
 | Thomas Hornby (land surveyor.) - Surveying - 1827 - 318 pages
...difference of the diameters. - 200000 .7854 200000 1.570800000 4 • 11.3280 Ans. IA. 2ft. Hp. PROBLEM 11. To find the Area of a Sector of a Circle. RULE I. Multiply the radius of the circle by half the arc of the sector, and the product will be the area. — fThisistHutton's... | |
 | Alexander Ingram - Mathematics - 1830 - 458 pages
...of a circle, of which the circumference is 178 inchrs, ADS. 1 yard 8 feet 73 J, inches. PROB. XXI. To find the area of a sector of a circle. RULE I. If the length of the arc be known, multiply ball the arc by the radius. RULE II. If the angle of the... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...circle whose circumference is 12 feet? Ans. 11.4595. j PROBLEM XI. • , . To find the area of the sector of a circle. RULE I. — Multiply the arc of the sector by half the radius (Book V. Prop. XII. Cer. 1). RULE II. — Compute the area of the whole circle : then say,... | |
 | Commissioners of National Education in Ireland - Measurement - 1837 - 290 pages
...circumference of a circle equal in area to a square whose side is 300 ? Ans. 1063-47228. PROBLEM XXVII. To find the area of a sector of a circle. RULE I. Multiply half the length of the arc by the radiusof the circle, and the product is the area of the sector, f... | |
 | Frederick Augustus Griffiths - 1840 - 436 pages
...of diameters. 30 X 10 X -7854 = 235-62. The Area. To find the length of any Arc of a Circle. 1. — As 360° is to the number of degrees in the Arc, so is the circumference to the length of the Arc. 2. — Or Multiply the degrees in the given arc by the radius... | |
 | Arithmetic - 1841 - 200 pages
...the arc; AD, or DB the radii. RULE. — (2) Find the length of the arc ACB; to do which say as 180°, is to the number of degrees in the arc, so is the radius multiplied by 8-1416, to the length of the arc; having found the length of the arc, multiply... | |
 | Abraham Crocker - 1841 - 486 pages
...7964 miles ? 79642 x 3-141592 — 199256402 square miles, very nearly, for the answer. PROBLEM VIII. To find the Area of a Sector of a Circle. RULE I. When the Degrees of the Arc are given. The area of a sector depends on the proportion which its arc... | |
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As 360 is to the number of degrees in the arc, so is the area of the circle to the area of the sector. This follows from Geometry, Prop. 14, Cor., B. III. Ex. 1. What is the area of a sector whose arc is 22°, in a circle whose diameter is 125 feet ?... 
