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Area of Decagon given side length and central angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (5*(Side)^2)/(2*tan(Angle A/2))
A = (5*(S)^2)/(2*tan(∠A/2))
This formula uses 1 Functions, 2 Variables
Functions Used
tan - Trigonometric tangent function, tan(Angle)
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)
Angle A - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (5*(S)^2)/(2*tan(∠A/2)) --> (5*(9)^2)/(2*tan(0.5235987755982/2))
Evaluating ... ...
A = 755.740288532847
STEP 3: Convert Result to Output's Unit
755.740288532847 Square Meter --> No Conversion Required
FINAL ANSWER
755.740288532847 Square Meter <-- Area
(Calculation completed in 00.015 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 circumradius
area = (5/2)*(((2*Radius)/(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
area = 5*Side*Inradius Go

Area of Decagon given side length and central angle Formula

area = (5*(Side)^2)/(2*tan(Angle A/2))
A = (5*(S)^2)/(2*tan(∠A/2))

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 side length and central angle?

Area of Decagon given side length and central angle calculator uses area = (5*(Side)^2)/(2*tan(Angle A/2)) to calculate the Area, Area of Decagon given side length and central angle is defined by the formula A = ( 3 * a^2) / ( 2 * tan( θ / 2)), where a is the side length θ is the central angle of the decagon. Area is denoted by A symbol.

How to calculate Area of Decagon given side length and central angle using this online calculator? To use this online calculator for Area of Decagon given side length and central angle, enter Side (S) & Angle A (∠A) and hit the calculate button. Here is how the Area of Decagon given side length and central angle calculation can be explained with given input values -> 755.7403 = (5*(9)^2)/(2*tan(0.5235987755982/2)).

FAQ

What is Area of Decagon given side length and central angle?
Area of Decagon given side length and central angle is defined by the formula A = ( 3 * a^2) / ( 2 * tan( θ / 2)), where a is the side length θ is the central angle of the decagon and is represented as A = (5*(S)^2)/(2*tan(∠A/2)) or area = (5*(Side)^2)/(2*tan(Angle A/2)). 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 & The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Area of Decagon given side length and central angle?
Area of Decagon given side length and central angle is defined by the formula A = ( 3 * a^2) / ( 2 * tan( θ / 2)), where a is the side length θ is the central angle of the decagon is calculated using area = (5*(Side)^2)/(2*tan(Angle A/2)). To calculate Area of Decagon given side length and central angle, you need Side (S) & Angle A (∠A). With our tool, you need to enter the respective value for Side & Angle A 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 & Angle A. 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)))
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