How to find the length of the apothem?
As long as the length of the sides is known, the apothem can be determined by using the formula: apothem= s/2 tan (180/n). In this formula, “s” is the length of the sides and “n” is the number of sides.
Moreover, how do you find the Apothem of a regular polygon?We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.
In addition, you may be interested in how do you find the length of an Apothem of a hexagon?To do this, use a calculator or a trigonometry table. Multiply the tangent by 2, then divide the side length by this number. This will give you the length of the apothem of your hexagon. So, the apothem of a regular hexagon with 8-cm sides is about 6.93 cm.
Accordingly, the question is what is a 15 sided shape called?In geometry, a pentadecagon or pentakaidecagon or 15-gon is a fifteen-sided polygon.
Do you have your own answer or clarification?
Related questions and answers
Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.
A regular decagon has all sides of equal length and each internal angle will always be equal to 144°.
I figured it out by doing: 360/25 = 14.4.
|number of sides||name of polygon|
|23||icosikaitrigon or tricosagon|
|24||icosikaitetragon or tetracosagon|
|25||icosikaipentagon or pentacosagon|
|26||icosikaihexagon or hexacosagon|
So, for a regular 20-gon, each exterior angle is 360°/20 = 18°.
A regular polygon with an exterior angle measure of 40 degrees has nine sides. Every polygon's exterior angle sum equals 360. So 360/40 equals nine.
|AB| = 5/tan(72o) = 1.62 feet. Hence the length of a side of the decagon is 2 × 1.62 = 3.24 feet.
Names of Regular Polygons
|Regular Polygon||Number of Sides||Exterior Angles|
|Square||4 sides||4 exterior angles of 90°|
|Regular pentagon||5 sides||5 exterior angles of 72°|
|Regular hexagon||6 sides||6 exterior angles of 60°|
|Regular heptagon||7 sides||7 exterior angles ≅ 51.43°|
Q3) How many sides does a regular polygon have if the measure of an exterior angle is 24°? => Number of sides of polygon with each angle of 24 is 15.
Question 196271: find the measure of each exterior angle of a regular 45-gon??? The sum of the exterior angles of a regular n-gon, regardless of the value of n, is 180 degrees. find the measure of each exterior angle of a regular 45-gon??? Each interior angle is that over 45, = 172 .
Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.
Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon. Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.
In geometry, a myriagon or 10000-gon is a polygon with 10,000 sides.
Each angle of a regular polygon measures 157.5˚. How many sides does this n-gon have? b) If each interior angle is 157.5˚, then each exterior angle is 180˚157.5˚= 22.5˚.
All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above) And there are twelve angles So, the measure of the interior angle of a regular dodecagon is 150 degrees.
In geometry, a triacontadigon (or triacontakaidigon) or 32-gon is a thirty-two-sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon's interior angles is 5400 degrees.
Thus,4140° is the answer.
As it is a regular polygon, all exterior angles are equal and are 30o . Hence number of sides of the polygon is 360o30o=12 .
Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.
The General Rule
Explanation: Sum of the measures of all the exterior angles of any polygon, irrespective of its number of sides is always 360∘ .
In geometry, a pentacontagon or pentecontagon or 50-gon is a fifty-sided polygon. The sum of any pentacontagon's interior angles is 8640 degrees.