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The area of a regular polygon is equal to half the product of its perimeter and apothem.
An Elementary Geometry - Page 43
by William Frothingham Bradbury - 1872 - 110 pages

## Plane Geometry by the Suggestive Method

John Alton Avery - Geometry, Modern - 1903 - 136 pages
...EXERCISES 142. The radius drawn to any vertex of a regular polygon bisects the angle at the vertex. 143. The perimeters of regular polygons of the same number of sides are to each other as any two homologous sides. 144. Find the area of a square inscribed in a circle whose...

## Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...inscribed in, any regular polygon. 431. Regular polygons of the same number of sides are similai. 433. The perimeters of regular polygons of the same number of sides are in the same ratio as their radii, or as their apothems. 434. The areas of regular polygons of the same...

## Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...area of a regular polygon equals one half the product of the perimeter by the apothem. 315. COR. 2. The perimeters of regular polygons of the same number of sides are proportional to their sides, apothems, or radii. 316. COR. 3. The areas of regular polygons of the...

## Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...its apothem. Theorem VIII. Two regular polygons of the same number of sides are similar. Corollary 1. The perimeters of regular polygons of the same number of sides are to each other as their apothems, as their radii, to their sides. Corollary %. The areas of regular...

## Plane Geometry

Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...is the number of sides. nAB OM nA'B' O'M' , or using r, r' for the radii, and P, P for 431. COR. 3. The perimeters of regular polygons of the same number of sides are proportional to their apothem.i. For, the radius of the inscribed circle of a regular polygon is the...

## Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...its apothem. Theorem VIII. Two regular polygons of the same number of sides are similar. Corollary 1. The perimeters of regular polygons of the same number of sides are to each other as their apothems, as their radii, to their sides. Corollary 2. The areas of regular...