 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...and circumscribed about a circle having a diameter 12 in. long. PROPOSITION' XIII. THEOREM 771. Thc area of a regular polygon, is equal to one half the product of its perimeter and apothem. FE Let ABCDEF be a regular polygon. To Prove that its area is equivalent to one half the product of... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...Draw three circumferences which are to each other as 4 : 5 : 6. • PROPOSITION XV. THEOREM 417. The area of a regular polygon is equal to one. half the product of its apothem and perimeter. Hyp. S is the area, P the perimeter, and R the apothem of the polygon ABCDE,... | |
 | Arthur Schultze - 1901 - 260 pages
...950. Draw three circumferences which are to each other as 4: 5:6. PROPOSITION XV. THEOREM 417. The area of a regular polygon is equal to one. half the product of its apothem and perimeter. Hyp. S is the area, P the perimeter, and R the apothem of the polygon ABCDE,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...950. Draw three circumferences which are to each other as 4 : 5 : 6. PROPOSITION XV. THEOREM 417. The area of a regular polygon is equal to one. half the product of its apothem and perimeter. Hyp. S is the area, P the perimeter, and R the apothem of the polygon ABCDE,... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...to one half the product of its perimeter and apothem. 772. COROLLARY. The area of any circumscribed polygon is equal to one half the product of its perimeter and the radius of its inscribed circle. 773. EXERCISE. The perimeter of a polygon circumscribed about a... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...and circumscribed about a circle having a diameter 12 in. long. PROPOSITION XIII. THEOREM 771. The area of a regular polygon is equal to one half the product of its perimeter and apothem. F Let ABCDEF be a regular polygon. To Prove that its area is equivalent to one half the product of... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...and circumscribed about a circle having a diameter 12 in. long. PROPOSITION XIII. THEOREM 771. The area of a regular polygon is equal to one half the product of Us perimeter and apothem. Let ABCDEF be a regular polygon. To Prove that its area is equivalent to... | |
 | William James Milne - Arithmetic - 1906 - 364 pages
...may be divided in a similar manner into as many triangles as the polygon has sides. Hence, 572. The area of a regular polygon is equal to one half the product of its perimeter and apothem. 573. 1. If the side of a regular hexagon is 6 inches long and the apothem 5.2 inches, what is its area?... | |
 | John William McClymonds, David Rhys Jones - Arithmetic - 1907 - 352 pages
.../ \ -/ \ triangles, and the perimeter is the sum of \ "/£ / the bases of the triangles. Hence, The area of a regular polygon is equal to one half the...of a circle is one half the product of its radius and circumference. Compare the method of finding the area of a regular polygon with this method of... | |
 | John William McClymonds, David Rhys Jones - Arithmetic - 1907 - 390 pages
...altitude of each of the triangles, and the perimeter is the sum. of the bases of the triangles. Hence, The area of a regular polygon is equal to one half the...its dimensions and find its area. 7. Draw a hexagon. area. 8. Draw an octagonarea. Assign its dimensions and find its Assign its dimensions and find its... | |
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The area of a regular polygon is equal to one half the product of its apothem and perimeter. 
