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Asked by: Hal Grady
Updated: 11 August 2021 07:51:00 PM

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.
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Related questions and answers

How many sides a regular polygon has whose each exterior angle is 45?

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 .

What is the measure of an exterior angle in a regular triangle?

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.

What is the measure of each angle in a regular decagon?

A regular decagon has all sides of equal length and each internal angle will always be equal to 144°.

What is the measure of each exterior angle of a regular 25 Gon?

I figured it out by doing: 360/25 = 14.4.

What is the measure of an exterior angle of a regular 50 Gon?

Regular Polygons
SidesNameExterior Angles
50Pentacontagon7.20°
60Hexacontagon6.00°
70Heptacontagon5.14°
80Octacontagon4.50°

What is a 25 sided polygon called?

pentacosagon
line
number of sidesname of polygon
23icosikaitrigon or tricosagon
24icosikaitetragon or tetracosagon
25icosikaipentagon or pentacosagon
26icosikaihexagon or hexacosagon

What is the measure of each exterior angle of a regular 20 Gon?

So, for a regular 20-gon, each exterior angle is 360°/20 = 18°.

How many sides does a regular polygon have if measure of each exterior angle is 40 degree?

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.

How do you find the length of a decagon?

|AB| = 5/tan(72o) = 1.62 feet. Hence the length of a side of the decagon is 2 × 1.62 = 3.24 feet.

How many sides has a regular polygon?

Names of Regular Polygons
Regular PolygonNumber of SidesExterior Angles
Square4 sides4 exterior angles of 90°
Regular pentagon5 sides5 exterior angles of 72°
Regular hexagon6 sides6 exterior angles of 60°
Regular heptagon7 sides7 exterior angles ≅ 51.43°

How many sides does a regular polygon have if the measure of an exterior angle is 24 degree?

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.

What is the measure of one exterior angle of a regular 45 Gon?

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 .

What is the measure of each interior angle of a 16 Gon?

Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.

What is the formula to find the sides of a polygon?

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.

What is a 10000 sided shape called?

In geometry, a myriagon or 10000-gon is a polygon with 10,000 sides.

What is the measure of each exterior of a regular 180 Gon?

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˚.

What is the measure of each angle in a regular dodecagon?

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.

What is a 32 sided shape called?

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.

What is the sum of 25 gon?

Thus,4140° is the answer.

How many sides does a regular polygon have if the exterior angle is 30?

As it is a regular polygon, all exterior angles are equal and are 30o . Hence number of sides of the polygon is 360o30o=12 .

How do you find the missing side lengths?

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.

What is the measure of each angle in a regular polygon with 5 sides?

The General Rule
ShapeSidesEach Angle
Triangle360°
Quadrilateral490°
Pentagon5108°
Hexagon6120°

What is the sum of angles of a 25 sided polygon?

Explanation: Sum of the measures of all the exterior angles of any polygon, irrespective of its number of sides is always 360∘ .

Is there a 50 sided shape?

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.