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" The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. "
New Elementary Geometry: With Practical Applications : a Shorter Course Upon ... - Page 93
by Benjamin Greenleaf - 1874 - 176 pages
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A Textbook on Sheet-metal Pattern Drafting, Volume 1

Metal-work - 1901 - 548 pages
...Hence, the perimeter of a polygon inscribed in a circle is less than the circumference of the circle. 7. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. ARITHMETIC. EOF, and FO A is an equilateral triangle, and, therefore, each of the sides of the hexagon...
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A Textbook on Sheet-metal Pattern Drafting, Volume 1

International Correspondence Schools - Sheet-metal work - 1901 - 570 pages
...the radius of the circle. Thus, we have AB = BC^CD = DE =EF=FA= OA. 8. From«Art. 7 we see that the A side of a regular hexagon inscribed, in a circle is equal to the radius of the circle; and, therefore, the perimeter of the regular inscribed hexagon is equal to six times the radius or...
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Euclid, His Life and System

Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...rough approximation to the ascertainment can be very easily made in various ways. As, for example, the side of a regular hexagon inscribed in a circle is equal to the radius of that circle. Its perimeter is therefore equal to six times the radius, or three times the diameter....
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 456 pages
...is equiangular; .-. the hexagon ABCDEF is regular, and it is inscribed in the 0 ABDF. QEF COROLLARY. The side of a, regular hexagon inscribed in a circle is equal to the radius of the circle. SUMMARY OF THE PROPOSITIONS OF BOOK IV. The following summary will assist the student in remembering...
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Arithmetic for Business with Short Methods and Rapid Calculations in All ...

Jacob Henry Minick, Clement Carrington Gaines - Business mathematics - 1904 - 398 pages
...2 V 2 RULE. — Divide the square of the diameter of the circle by 8, and extract the square root. The side of a regular hexagon inscribed in a circle is equal to the radiuf of the circle. EXAMPLES. ' 459. 1. Find the side of a square that can be cut from a circle 10...
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Handbook of Mathematics for Engineers and Engineering Students

Joseph Claudel - Mathematics - 1906 - 758 pages
...of a square inscribed in a circle of radius R is equal to V2 R (695). c : R = V2 : 1 and c = R V2. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. The side c of an equilateral triangle inscribed in a circle of radius R is equal to \/3 R. c : R =...
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Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

International Correspondence Schools - Building - 1906
...2, Art. 77, (6) Applying formula of Art. 71, c = 3.1416 X 10.67 = 33.52 in. Ans. (e) The length of the side of a regular hexagon inscribed in a circle is equal to the radios, ' = 5.335 in. Ans. (6) The volume of the shell is equal to the difference in the volura; of...
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Practical Algebra, 2d Course by Jos. V. Collins, Book 2

Joseph Victor Collins - Algebra - 1911 - 330 pages
...on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. 21. One side of a regular hexagon inscribed in a circle is equal to the radius. 22. One side of a regular decagon inscribed in a circle of radius r is x in the proportion r _ x X...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...triangles, similar each to each and similarly placed. 6. Prove that the side of an equilateral triangle inscribed in a circle is equal to the radius of the circle multiplied by \/3. 7. If the bisectors of the interior angle at C and the exterior angle at B of the...
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Plane Geometry

John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...TfW — Y + (7)1- Why? 4. .-. a2 = 4R2— B* = 3R*, or a = JJV3 = 1.73205080 .-- S. 473. COROLLARY. The side of a regular hexagon inscribed in a circle is equal to the radius. 474. EXERCISES 1. If the radius of a circle is 1, find the side, the apothem, and the area of an inscribed...
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