An Elementary Treatise On Mensuration And Practical Geometry Together With Num
An Elementary Treatise On Mensuration And Practical Geometry Together With Num
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956 p.
6. Required the area of a trapezoid whose two parallel sides are 750 and 1225 links, and the perpendicular distance between them 1540 links. Ans. 15 a. R. 33. 2 p MENSURATION OF SUPERFICIES 81 POLYGONS.
PROBLEM I. 12. To find the area of a regular polygon.
RULE. Multiply the perimeter, or sum of all the sides of the figure, by the perpendicular falling from its centre upon one of the sides, and half the product will be the area.
EXAMPLES.
1. Required the area of the regular pentagon, ABO...DE, one of whose equal sides, AB, or BC, &. , is 25 yards, and the perpendicular O P from its centre, 17. 2 yards.
Here (25 x 5 x 17. 2) -j- 3 2150 -f- 2 = 1075 yards, the area.
2. The side of a regular hexaron is 15 feet, and the per- pendicular 13 feet ; what is the area ? Ans. 585 feet.
3. Required the area of a regular hexagon whose side is 14. 6 yards, and perpendicular 12. 04 yards ?
Ans. 553. 632 yds.
4. How many acres are contained in a regular heptagon whose sides are each 19. 38 chains, &.
What to read after An Elementary Treatise On Mensuration And Practical Geometry Together With Num?
You can find similar books in the "Read Also" column, or choose other free books by William Vogdes to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
956 p.
6. Required the area of a trapezoid whose two parallel sides are 750 and 1225 links, and the perpendicular distance between them 1540 links. Ans. 15 a. R. 33. 2 p MENSURATION OF SUPERFICIES 81 POLYGONS.
PROBLEM I. 12. To find the area of a regular polygon.
RULE. Multiply the perimeter, or sum of all the sides of the figure, by the perpendicular falling from its centre upon one of the sides, and half the product will be the area.
EXAMPLES.
1. Required the area of the regular pentagon, ABO...DE, one of whose equal sides, AB, or BC, &. , is 25 yards, and the perpendicular O P from its centre, 17. 2 yards.
Here (25 x 5 x 17. 2) -j- 3 2150 -f- 2 = 1075 yards, the area.
2. The side of a regular hexaron is 15 feet, and the per- pendicular 13 feet ; what is the area ? Ans. 585 feet.
3. Required the area of a regular hexagon whose side is 14. 6 yards, and perpendicular 12. 04 yards ?
Ans. 553. 632 yds.
4. How many acres are contained in a regular heptagon whose sides are each 19. 38 chains, &.
What to read after An Elementary Treatise On Mensuration And Practical Geometry Together With Num?
You can find similar books in the "Read Also" column, or choose other free books by William Vogdes to read onlineMoreLess
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