 Find the area of a regular polygon of n sides inscribed in a circle, and show, by increasing the number of sides of the polygon without limit, how the expression for the area of the circle may be obtained. 13. (a) Find the distance at which a building...  Plane Trigonometry - Page 202by Daniel Alexander Murray - 1906Full view - About this book
 | Education - 1844 - 688 pages
...the equation/ (m)/(w)=/(m+n), where f(m) represents the series and ni and n are general symbols. 2. Find the area of a regular polygon of (n) sides inscribed in a circle. Deduce the area of a circle. 3. Find the minimum value of xt+yz+zt, if xyz fulfil the conditions <Ke+by+cz=lt... | |
 | George Wirgman Hemming - 1851 - 176 pages
...the sides of ABC. Shew that the area of the new triangle area of ABC " . A . B . C Ssm-jj-sm-sm11. The area of a regular polygon of n sides inscribed in a circle is to the area of another of 3w sides in the same circle as 1 : k. Shew that the angle which a side... | |
 | James Hann - Plane trigonometry - 1854 - 140 pages
...— a cosec cosec • Л 2 я я rl 180° 180° 180° - a cot cos — cosec cos 2 я я я n 30. To find the area of a regular polygon of n sides inscribed in a circle. The polygon is composed of as many triangles as there are sides of the figure : 180° 180° area of... | |
 | Samuel H. Winter - 1877 - 452 pages
...BAC are respectively 54°3(y, and 65°30' ; find the breadth of the river. 14. Find an expression for the area of a regular polygon of n sides inscribed in a given circle ; and show that the square of the side of the inscribed pentagon is equal to the sum of... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...4-4030862. log 25299 = 4-4031034. Leos 26° 33' 54" = 9-9515452. L tan 26° 33' 54" = 9-6989700. 11. Find the area of a regular polygon of n sides inscribed in a circle of radius K. Find by the aid of logarithmic tables the area of a regular polygon of 11 sides inscribed... | |
 | Thomas Grenfell Vyvyan - 1882 - 150 pages
...eosec— . Si A SB n 14. The area of a regular polygon of n sides, one of whose sides is a, is . 2 n 15. The area of a regular polygon of n sides, inscribed in a circle of ... . n , . 2ir radius r, IB 5 7-'8IH — . 16. If the radius of the earth, supposed spherical,... | |
 | Great Britain. Education Department. Department of Science and Art - 1886 - 640 pages
...how far P is from Q, and how far each of them is from A and from B. (35.) 51 . Find an expression for the area of a regular polygon of n sides inscribed in a given circle. Six equal circles, of radius a, are placed so that each touches two others, their centres... | |
 | John Maximilian Dyer - Plane trigonometry - 1891 - 306 pages
...(be + ad)_(ac + bd) ь " 4 V(s - a) (s - b) (s - c) (s.- d) ' 161. To find the length of the side and the area of a regular polygon of n sides inscribed in a circle. » M в Let AB be the side of a regular polygon of и sides А В С D ... inscribed in a circle whose... | |
 | Sidney Luxton Loney - Plane trigonometry - 1893 - 534 pages
...proportional between the areas of the regular inscribed and circumscribed polygons of n sides. 14. The area of a regular polygon of n sides inscribed in a circle is to that of the same number of sides circumscribing the same circle as 3 is to 4. Find the value... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Plane trigonometry - 1893 - 434 pages
...— = — — j . 8. If in a triangle 8^2=a2+62+c2, prove that one of the angles is a right angle. 9. The area of a regular polygon of n sides inscribed in a circle is three-fourths of the area of the circumscribed regular polygon with the same number of sides : find... | |
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