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How do you find the area of a regular polygon without using the apothem?
Wiki User
∙ 12y ago
for triangles, you can use Heron's formula
for squares, just (length)^2
for others, i can only think of cutting them into smaller triangles and use Heron's formula. If others can think of a better method, please feel free to edit. thx
Wiki User
∙ 12y ago
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What are the measures in a regular polygon?
The area of a regular polygon is given by the following formula: area =(1/2) (apothem)(perimeter).There are several other formulas that can be used. Regular Polygon Formulas are: N=number of sides, s= length, r = apothem (adiius of inscribed circle) R = radius of circumcircle. Using any of these formulas you can find the measurements of a regular polygon.
How do you use regular polygon in a sentence?
i drew a picture using a regular polygon for a dogs head
Which regular polygon can be drawn using rotations?
A dodecagon is a regular polygon that can be drawn using rotations. These are normally drawn in a Geometer's Sketchpad.
What is the area of an regular octogon with a apothem of 7 and a side length of 5.8?
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
What regular polygon can be drawn using rotations?
12 - gon
What are the measures in a regular polygon?
The area of a regular polygon is given by the following formula: area =(1/2) (apothem)(perimeter).There are several other formulas that can be used. Regular Polygon Formulas are: N=number of sides, s= length, r = apothem (adiius of inscribed circle) R = radius of circumcircle. Using any of these formulas you can find the measurements of a regular polygon.
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.
How do you calculate the area of the polygon?
If it is a regular polygon--meaning that all the sides are congruent and all the angles are congruent, then the formula for area of the polygon is A=1/2 ap Here a represents the apothem, which is the distance from the center of the polygon to the midpoint of one side. p represents the perimeter of the polygon found by multiplying one side length by the number of sides. If you only know one variable such as side length, you can find the perimeter and you can find the apothem using trigonomety.
What is a characesteristic of a regular tessellation?
A regular tessellation is one in which a plane is covered, without gaps or overlaps, using copies of a regular polygon.
What is the formula of an apothem?
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
How do you use regular polygon in a sentence?
i drew a picture using a regular polygon for a dogs head
Which regular polygon can be drawn using rotations?
A dodecagon is a regular polygon that can be drawn using rotations. These are normally drawn in a Geometer's Sketchpad.
How do you find the area of a square using the radius and the apothem?
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.
What is the area of an regular octogon with a apothem of 7 and a side length of 5.8?
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
What regular polygon can be drawn using rotations?
12 - gon
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).
Tessellations that use more than one type of regular polygon are called regular tessellations?
No. Regular tessellations use only one polygon. And, according to the strict definition of regular tessellation, the polygon must be regular. Then a tessellation using rectangles, for example, cannot be called regular.
