Q: What is the area of a regular pentagon with sides of length 13 and an apothem of length 5.27 in square units?

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Area in square units = 0.5*(apothem)*(perimeter)

If you mean an apothem of 4.82 inches rounded to two decimal places then its area is 0.5*4.82*7*5 = 84.35 square inches.

It is 665.1 sq inches.

Area of regular 8 sided octagon: 0.5*7*5.8*8 = 162.4 square units Not that in fact by using trigonometry the apothem is slightly bigger than 7

If each side is 8 units in length then area is 0.5*10.45250372^2 *sin(45)*8 = 309.019336 square units

Related questions

Apothem length: 4.82 35.35 square units APEX

Area in square units = 0.5*(apothem)*(perimeter)

389.40

293.72

309.12

232.57 square inches.

For a SQUARE, the area is (2r)2 because the length and width are the same. The apothem (radius) is used to find the area of other regular polygons.

An apothem of a regular polygon is a segment from its center to the midpoint of a side. You can use the apothem to find the area of a regular polygon using this formula: A = pa/2 where p is the perimeter of the figure and a is the apothem. For a regular octagon with side length 11, the perimeter p = 8(11) = 88. So the area would be A = 88(8.85)/2 = 389.4 square units.

If you mean an apothem of 4.82 inches rounded to two decimal places then its area is 0.5*4.82*7*5 = 84.35 square inches.

A = 1/2 * 10.49*7*8 = 293.72

It is 665.1 sq inches.

By Apothem LengthThe area of a regular octagon can also be computed using its measured apothem (a line from the center to the middle of any side). The formula for an octagon with side length s and apothem a is Area = a4s . (apothem times one-half the perimeter)So for this example, (8 cm and 9.66 cm) Area = (9.66)(32) = 309.12 cm2----By Side LengthThe area of a regular octagon with side length s is given as Area = 4.828427 s2 , so for a regular octagon of side length 8 cm , the area is calculated as 309.02 cm2. (indicating an error from rounding the apothem length)(This formula is generated by adding or subtracting the missing corner triangles.)