Using trigonometry and the sine rule the area of the regular 5 sided pentagon with a perimeter of 50cm works out as 172.048 square cm rounded to 3 decimal places.
A pentagon is a 2-D shape. You can't find the volume of it unless it's 3-D. The formula for the area of a pentagon has something to do with the perimeter, the number of sides, the apothem, and the number 2.
Area of a regular pentagon with a known side S can be closely approximated by formula 5S2/4 tan 36. Taking 4 tan 36 as 2.906 then the area sought is 2000/2.906 ie 688.23 sq units.
The area of a pentagon of side length t is given by the formula t2 (sqrt 25 + 10 (sqrt 5)) / 4, or 5t2 tan (54o) / 4. In this case, a pentagon with one side of 10cm has an area of 102 (sqrt 25 + 10 (sqrt 5)) / 4 = 172.05 cm2 (accurate to two decimal places).
27.50
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.
The formula is 1/2 (apothem) (perimeter)
Area 42 cm2, perimeter 26 cm.
10cm by 10cm (perimeter=40cm), 5cm by 20cm (perimeter=50cm), 50cm by 2cm (perimeter=104cm), 100cm by 1cm (perimeter=202cm). All of these rectangles' areas are 100cm2
The perimeter of the pentagon would be 18 x 5 = 90 centimetres. The area of the pentagon, rounded to two decimal places, would be (5 x 182 x tan(54))/4 = 272.89 cm2.
The boy had to find the area and perimeter of the pentagon.
Area = 139.36 ft2
add all of the triangle area in a pentagon to get areaThe area A of a regular polygon with n sides each s units long, perimeter p, and apothem a:A = (ans)/2 or A = (ap)/2.
About 387 m^2 1.72*s^2 s=perimeter/5 s=75/5=15 1.72*15*15=387
The area of a regular hexagon with a perimeter 120m is about 1039.2m2
Area = 1,548.43 ft2
Area = 1,918,570 ft2
The area of a regular pentagon with a radius of 7 is 10.1716. If the radius was 5, the area would be 7.26543.