How To Calculate The Area Of A Decagon

Credits

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM) , Udupi

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St Joseph's College (SJC) , Bengaluru

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Area of Decagon Solution

STEP 0: Pre-Calculation Summary

STEP 1: Convert Input(s) to Base Unit

Side: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

STEP 3: Convert Result to Output's Unit

623.230916277989 Square Meter --> No Conversion Required

10+ Area of Decagon Calculators

Area of Decagon Formula

area = (5/2)*(Side^2)*(sqrt(5+2*sqrt(5)))
A = (5/2)*(S^2)*(sqrt(5+2*sqrt(5)))

What is a decagon

Decagon is a polygon with ten sides and ten vertices. A decagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex decagon has none of its interior angles greater than 180°. To the contrary, a concave decagon (or polygon) has one or more of its interior angles greater than 180°. A decagon is called regular when its sides are equal and also its interior angles are equal.

How to Calculate Area of Decagon?

Area of Decagon calculator uses area = (5/2)*(Side^2)*(sqrt(5+2*sqrt(5))) to calculate the Area, Area of Decagon is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, side = side of decagon. Area and is denoted by A symbol.

How to calculate Area of Decagon using this online calculator? To use this online calculator for Area of Decagon, enter Side (S) and hit the calculate button. Here is how the Area of Decagon calculation can be explained with given input values -> 623.2309 = (5/2)*(9^2)*(sqrt(5+2*sqrt(5))).

FAQ

What is Area of Decagon?

Area of Decagon is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, side = side of decagon and is represented as A = (5/2)*(S^2)*(sqrt(5+2*sqrt(5))) or area = (5/2)*(Side^2)*(sqrt(5+2*sqrt(5))) . The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.

How to calculate Area of Decagon?

Area of Decagon is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, side = side of decagon is calculated using area = (5/2)*(Side^2)*(sqrt(5+2*sqrt(5))) . To calculate Area of Decagon, you need Side (S). With our tool, you need to enter the respective value for Side and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area?

In this formula, Area uses Side. We can use 10 other way(s) to calculate the same, which is/are as follows -

area = 5*Side*Inradius
area = (5*(Side)^2)/(2*tan(Angle A/2))
area = (5/2)*(Side^2)*(sqrt(5+2*sqrt(5)))
area = (5/2)*((Diagonal across five sides/((1+sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
area = (5/2)*((Diagonal across four sides/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
area = (5/2)*(((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
area = (5/2)*(((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5)))
area = (5/2)*((Height/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5)))
area = (5/2)*(((2*Radius)/(1+sqrt(5)))^2)*(sqrt(5+2*sqrt(5)))

Where is the Area of Decagon calculator used?

Among many, Area of Decagon calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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