# Formula For Apothem

### Find the area of a regular octagon with an apothem of 8.5 ...

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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 ...

### How to Calculate the Apothem of a Polygon | Sciencing

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The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides. The word "apothem" can also refer to the length of that line segment.

### How to Calculate the Area of a Regular Polygon - dummies

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Then draw in an apothem, which goes from the center to the midpoint of a side. The following figure shows hexagon EXAGON with its diagonals and an apothem. Now you can finish with either the regular polygon formula or the equilateral triangle formula (multiplied by 6). They’re equally easy. Take your pick.

## Formula For Apothem Of A Octagon

### Area of a Nonagon & Calculator - Wiki Formulas

wikiformulas.com/en/area/area-of-a-nonagon

\$\$a = "apothem: distance from the center to the closest point in the figure"\$\$ Nonagon Definition It is a geometric figure with 9 sides, all the sides have equal length.

## Formula For Apothem

### Area Review Jeopardy Template

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What is the formula for area of a rectangle?, What is the formula for area of a parallelogram?, Find the area of the parallelogram whose base is 6.1 ft and the height is 3.1 ft., If the area of a rectangle is 61.2 km2 and the height is 12 km, solve for the base.

### Apothem -- from Wolfram MathWorld

mathworld.wolfram.com/Apothem.html

May 01, 2020 · Given a circle, the apothem is the perpendicular distance r from the midpoint of a chord to the circle's center. It is also equal to the radius R minus the sagitta h, r=R-h. For a regular polygon, the apothem simply is the distance from the center to a side, i.e., the inradius r of the polygon.

### Area of a Pentagon Formula - Detailed Formula With Example ...

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Imagine a collapsed roof of a house. Now, the Pentagon area is derived by multiplying side and apothem length with (5/2). To learn more about the area of a pentagon along with the details of apothem and other related details, check the linked article. Area Formula for a Pentagon. The Area of a Pentagon Formula is,

### Apothem of a Polygon Formula - Easycalculation.com

easycalculation.com/formulas/apothem-of-regular-polygon.html

Formula A polygon with all sides having equal length and all angles are equal is called as regular polygon. The line segment from the center to the midpoint of any of the sides is called as the apothem

### Area of a Regular Polygon. Calculator | Formula - Omni

omnicalculator.com/math/regular-polygon-area

Area of a regular polygon formulas. The most popular, and usually the most useful formula is the one that uses the number of sides n and the side length a:. area = n * a² * cot(π/n) / 4

## Formula For Apothem Regular Polygon

### How to find the area of a hexagon - High School Math

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If we are given the variables and , then we can solve for the area of the hexagon through the following formula: In this equation, is the area, is the perimeter, and is the apothem. We must calculate the perimeter using the side length and the equation , where is the side length.

### Apothem Calculator | Apothem of a Regular Polygon ...

calculator.swiftutors.com/apothem-calculator.html

Formula to calculate apothem of a regular polygon when we know the length of any side of a polygon: where, s = Length of any side of a polygon n = Number of sides of a polygon tan = Tan function calculated in degrees Alternatively, if we know the circumradius (radius) of the polygon we can use this below formula to find the apothem. where,

### Regular Polygon Calculator

calculatorsoup.com/calculators/geometry-plane/polygon.php

Use this calculator to calculate properties of a regular polygon. Enter any 1 variable plus the number of sides or the polygon name. Calculates side length, inradius (apothem), circumradius, area and perimeter. Calculate from an regular 3-gon up to a regular 1000-gon. Units: Note that units of length are shown for convenience. They do not ...

### How to Calculate the Area of a Regular Polygon - dummies

dummies.com/education/math/geometry/how-to-calculate-the-area-of-a-regular-polygon/

By Mark Ryan . A regular polygon is equilateral (it has equal sides) and equiangular (it has equal angles).To find the area of a regular polygon, you use an apothem — a segment that joins the polygon’s center to the midpoint of any side and that is perpendicular to that side (segment HM in the following figure is an apothem).

### Regular Polygons - Properties

mathsisfun.com/geometry/regular-polygons.html

When we don't know the Apothem, we can use the same formula but re-worked for Radius or for Side: Area of Polygon = ½ × n × Radius 2 × sin(2 × π/n) Area of Polygon = ¼ × n × Side 2 / tan(π/n) A Table of Values. And here is a table of Side, Apothem and Area compared to a Radius of "1", using the formulas we have worked out:

### Area Of Polygons - Formulas (examples, solutions, games ...

onlinemathlearning.com/areas-of-polygons.html

• Area of Polygons - Formulas. The area of a polygon measures the size of the region …
• Area of a Square. The area of a square is equal to the length of one side squared. …
• Area of a Rectangle. The area of a rectangle is equal to the product of the length of …
• Area of a Parallelogram. To get the area of a parallelogram, we first draw a …

### Area of a Decagon & Calculator - Wiki Formulas

wikiformulas.com/en/area/area-of-a-decagon

If you know the length of the perimeter in a decagon and the area, you can calculate its apothem using the following formula:

### Octagon Calculator | Shape | Definition - Omni

omnicalculator.com/math/octagon

area of regular polygon = perimeter * apothem / 2, where the apothem is the distance for the center of the polygon to the mid-point of a side. The perimeter can be calculated a few ways: by summing up the length of each side, multiplying the length of one side by the number of sides, or, if you're feeling lazy, you can also use our perimeter of a polygon calculator .

## Formula For Apothem Of A Pentagon

### Area of a Pentagon | Apothem of Pentagon | Solved Examples

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Area of Pentagon is given by 5/2 x s x a; where s is the side of the Pentagon, and a is the apothem length. Apothem is the line from the center of the pentagon to a side, …

## Formula For Apothem Of A Regular Polygon

### Apothem of a Hexagon - NCTM

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Jun 15, 1996 · Apothem of a Hexagon Date: 6/11/96 at 0:11:46 From: RS Subject: Apothem of a hexagon I need help in finding the apothem of a regular hexagon. Could you help me by telling me the formula.