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## Area of Decagon given inradius and side length Solution

STEP 0: Pre-Calculation Summary
Formula Used
A = 5*S*ri
This formula uses 2 Variables
Variables Used
Side - 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. (Measured in Meter)
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 5*S*ri --> 5*9*10
Evaluating ... ...
A = 450
STEP 3: Convert Result to Output's Unit
450 Square Meter --> No Conversion Required
450 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

## < 10+ Area of Decagon Calculators

Area of Decagon given diagonal across three sides
area = (5/2)*(((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given diagonal across two sides
area = (5/2)*(((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given diagonal across four sides
area = (5/2)*((Diagonal across four sides/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given height
area = (5/2)*((Height/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given diagonal across five sides
area = (5/2)*((Diagonal across five sides/((1+sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given perimeter
area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon
area = (5/2)*(Side^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given side length and central angle
area = (5*(Side)^2)/(2*tan(Angle A/2)) Go
Area of Decagon given inradius and side length

A = 5*S*ri

## 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 given inradius and side length?

Area of Decagon given inradius and side length calculator uses area = 5*Side*Inradius to calculate the Area, The Area of Decagon given inradius and side length formula is defined by the formula A = 5 * a * Ri, where a is the side length Ri is the inradius of decagon. Area is denoted by A symbol.

How to calculate Area of Decagon given inradius and side length using this online calculator? To use this online calculator for Area of Decagon given inradius and side length, enter Side (S) & Inradius (ri) and hit the calculate button. Here is how the Area of Decagon given inradius and side length calculation can be explained with given input values -> 450 = 5*9*10.

### FAQ

What is Area of Decagon given inradius and side length?
The Area of Decagon given inradius and side length formula is defined by the formula A = 5 * a * Ri, where a is the side length Ri is the inradius of decagon and is represented as A = 5*S*ri or area = 5*Side*Inradius. 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 & Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Area of Decagon given inradius and side length?
The Area of Decagon given inradius and side length formula is defined by the formula A = 5 * a * Ri, where a is the side length Ri is the inradius of decagon is calculated using area = 5*Side*Inradius. To calculate Area of Decagon given inradius and side length, you need Side (S) & Inradius (ri). With our tool, you need to enter the respective value for Side & Inradius 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 & Inradius. We can use 10 other way(s) to calculate the same, which is/are as follows -
• 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)))