how to find the apothem of a dodecagon The word apothem can refer to the line itself or the length of that line So you can correctly say draw the apothem and the apothem is 4cm Each formula below shows how to find the length of the apothem of a regular polygon Use the formula that uses the facts you are given to start Apothem given the length of a side
How to Calculate Area of a Polygon Using Apothem To calculate the area of a polygon with the help of apothem we use the formula A dfrac 1 2 aP Where a apothem P perimeter Example Find the area of a regular hexagon if the side length is 5 inches and the apothem is 3 inches A dfrac 1 2 aP The area of a dodecagon is calculated with the help of the formula A 3 2 3 s 2 where s the length of the side of the dodecagon What is One Exterior Angle of a Dodecagon Each exterior angle of a dodecagon is equal to 30
how to find the apothem of a dodecagon
how to find the apothem of a dodecagon
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Area Of Regular Polygon Given Apothem YouTube
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Dodecagon Area Formula
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Dodecagons can be broken into a series of triangles by diagonals drawn from its vertices This series of triangles can be used to find the sum of the interior angles of the dodecagon Diagonals are drawn from vertex A in the convex dodecagon below forming 10 triangles Similarly 10 triangles can also be drawn in a concave dodecagon To perform the calculation select the required parameter in the menu and enter its value Then click the Calculate button Formulas for a Dodecagon Perimeter P P P a 12 P a 12 Area A A A 3 2 3 a2 A 3 2 3 a 2 Diagonal d2 d 2 2 corner d2 6 2 2 a d 2 6 2 2 a d2 d6 2 d 2 d 6 2
Dodecagon exterior angles That was the easy part The interior angles of a dodecagon are a bit harder You can use this generic formula to find the sum of the interior angles for an n sided polygon regular or irregular Sum of interior angles n 2 180 n 2 times 180 n 2 180 Area perimeter apothem The formula for area of a regular twelve sided regular polygon dodecagon of side length d is given by Area 3 2 3 d 2 11 19615242 d 2
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Area Of A Decagon Formula Examples Definition
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Area Of A Regular Polygon Given The Apothem YouTube
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Area Of Regular Polygon Apothem
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The area of a dodecagon can be calculated by dividing it into triangles or using the formula A 1 2 apothem perimeter For a regular dodecagon where the apothem and side lengths are known the area can be calculated more precisely As we know Area A 3 2 3 s 2 s A 3 2 3 here A 279 cm 2 279 3 2 3 4 99 cm What is a dodecagon How many sides does it have Learn how to find its area and perimeter with formulas solved examples and diagrams
Next let s consider the formula for finding the area of a dodecagon This formula takes into account both the length of the sides and the apothem which is the distance from the center of the dodecagon to the midpoint of any side The formula for the area of a dodecagon is A 3 x sqrt 3 x s 2 2 The area of a dodecagon our friend with 12 sides can be calculated with this formula Area 3 side length 2 3 Types of Dodecagon Calculations Example Calculations Calculation Methods Evolution of Dodecagon Calculation Limitations of
Find Area Of Regular Polygon Given Apothem YouTube
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Find The Area Of A Regular Pentagon With An Apothem Of 3 1ft And A Side
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how to find the apothem of a dodecagon - To determine the exterior angle of a regular decagon Recall the formula for the sum of interior angles n 180 360 where n is the number of sides In our case n 10 so 10 180 360 1440 There are ten equal interior angles and their sum is 1440 so each has 144 Recall that the exterior angle complements an interior angle