0
The apothem of a regular polygon? well lets look at the math behind it before i recall it... you can scroll down to the bottom of the page if you don't want to read this. the formula is on the bottom of the page * A regular polygon is made up of a sequence of isoceles triangles.. * How do we know that they are isoceles? ------1)the triangles that make up a regular polygon are congruent -------2)the radii are always congruent . the radii of a regular polygon goes from it's center to the vertices...(hint:think of a circle's radius) * due to the fact that you have isoceles triangles they have to be made by angle bisectors through the regular polygon otherwise they couldn't be congruent * okay now that we know that the triangles are isoceles we also know that the apothem is an angle bisector so it cuts the measurement of a side in half. lets use j for our the measurement of our side. * okay we got the angle measures and our apothem made two congruent triangles so now we can use trig ratios to find our apothem so the formula is a=0.5j(tan [n-2]*180/2n) where n is the # of sides and j is the measurement of a side or you can simplify that to a=0.5j(tan [n-2]*90/n) i am using degrees for my angle meausure by the way
Wiki User
∙ 15y ago
Add your answer:
Earn +20 pts
How do you find an apothem?
The formula for finding an apothem is s = 1/2 aP. S is the area, a is the apothem, and P is the perimeter.
What is an apothem of a regular polygon?
An apothem is a line segment from the center of a regular polygon to the midpoint of a side.
Find the apothem of a regular polygon with an area of 625 meters and a perimeter of 100?
The apothem is 12.5 metres.
Can a circle have an apothem?
yes
What is the area of a 36 sided shape if each side is 1cm?
102.923cm2 Try using the area of a polygon formula (involves apothem, side length, and number of sides).
How do you find an apothem?
The formula for finding an apothem is s = 1/2 aP. S is the area, a is the apothem, and P is the perimeter.
What is the formula for calculating the area of a regular pentagon?
The formula is 1/2 (apothem) (perimeter)
What is the formula for finding the area of a regular polygon with perimeter P and apothem length a?
A = (1/2)Pa A being the area, P being the perimeter of the regular polygon, and the apothem length being a.
What is the octagonal prism volume formula?
v=lxwxhlenght x width x height its actually Bxh where the base is the apothem x perimeter/2(apothem x peremiter/2)xhhaha pwnedThis is pure bullsh*t
A regular octagon with sides of length 8 and an apothem of length 9.66 has an area of how many square units?
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.)
What is the formula for finding the area of a regular polygon with perimeter P and apothegm length a?
Area of regular polygon: 0.5*apothem*perimeter
What is the formula for a regular pentagon?
If I recall correctly, it is 1/2pa where p is the perimeter and a is the apothem. If I'm wrong, hopefully someone can correct me.
The formula for volume of an octagon?
an octagon doesn't have a volume its has and area ecause it is a 2-d figure. to find the area of a 2-d regular figure it is 1/2 apothem * perimeter (apothem is the distance of a line from the center of a polygon, to the midpoint of a side)
A regular octagon with sides of length 11 and an apothem of length 8.85 has an area of what?
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.
What is the perimeter of a hexagon with an apothem of 12?
The perimeter of a hexagon with an apothem of 12 is 83.14
A regular octagon with sides of length 7 and an apothem of length 8.45 has an area of how many square units?
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, (7 cm and 8.45 cm) Area = (8.45)(28) = 236.6 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 7 cm , the area is also about 236.6 cm2.(This formula is generated by adding or subtracting the missing corner triangles.)
How do you find the perimeter of a regular polygon with the apothem and area?
Perimeter = 2*Area/Apothem.
