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Area of Heptagon given long diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (7/4)*(((Long diagonal*((2*sin((pi/2/7)))))^2)/tan(pi/7))
A = (7/4)*(((p*((2*sin((pi/2/7)))))^2)/tan(pi/7))
This formula uses 1 Constants, 2 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
tan - Trigonometric tangent function, tan(Angle)
Variables Used
Long diagonal - Long diagonal is a straight line joining two opposite corners of a given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Long diagonal: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (7/4)*(((p*((2*sin((pi/2/7)))))^2)/tan(pi/7)) --> (7/4)*(((10*((2*sin((pi/2/7)))))^2)/tan(pi/7))
Evaluating ... ...
A = 71.9740926545929
STEP 3: Convert Result to Output's Unit
71.9740926545929 Square Meter --> No Conversion Required
FINAL ANSWER
71.9740926545929 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

9 Area of Heptagon Calculators

Area of Heptagon given long diagonal
area = (7/4)*(((Long diagonal*((2*sin((pi/2/7)))))^2)/tan(pi/7)) Go
Area of Heptagon given short diagonal
area = (7/4)*(((Short diagonal/(2*cos(pi/7)))^2)/tan(pi/7)) Go
Area of Heptagon given circumradius
area = (7/4)*(((Circumradius*(2*sin(pi/7)))^2)/tan(pi/7)) Go
Area of Heptagon given height
area = (7/4)*(((Height*(2*tan(pi/2/7)))^2)/tan(pi/7)) Go
Area of Heptagon given perimeter
area = (7/4)*(((Perimeter/7)^2)/tan(pi/7)) Go
Area of Heptagon given side and angle
area = (7*Side^2)/(4*tan(pi/7)) Go
Area of each triangle in Heptagon given side and inradius
area = (1/2)*Side*Inradius Go
Area of Heptagon given side and inradius
area = (7/2)*Side*Inradius Go
Area of Heptagon given side
area = 3.634*(Side^2) Go

Area of Heptagon given long diagonal Formula

area = (7/4)*(((Long diagonal*((2*sin((pi/2/7)))))^2)/tan(pi/7))
A = (7/4)*(((p*((2*sin((pi/2/7)))))^2)/tan(pi/7))

What is a Heptagon?

Heptagon is a polygon with seven sides and seven vertices. Like any polygon, a heptagon may be either convex or concave, as illustrated in the next figure. When it is convex, all its interior angles are lower than 180°. On the other hand, when its is concave, one or more of its interior angles is larger than 180°. When all the edges of the heptagon are equal then it is called equilateral

How to Calculate Area of Heptagon given long diagonal?

Area of Heptagon given long diagonal calculator uses area = (7/4)*(((Long diagonal*((2*sin((pi/2/7)))))^2)/tan(pi/7)) to calculate the Area, The Area of heptagon given long diagonal formula is defined as the total area that the surface of the object occupies of heptagon (7/4)*(side a^2/tan(80/7)) or A=(7/4)(a^2)(cot(pi/7)) Square units. Area and is denoted by A symbol.

How to calculate Area of Heptagon given long diagonal using this online calculator? To use this online calculator for Area of Heptagon given long diagonal, enter Long diagonal (p) and hit the calculate button. Here is how the Area of Heptagon given long diagonal calculation can be explained with given input values -> 71.97409 = (7/4)*(((10*((2*sin((pi/2/7)))))^2)/tan(pi/7)).

FAQ

What is Area of Heptagon given long diagonal?
The Area of heptagon given long diagonal formula is defined as the total area that the surface of the object occupies of heptagon (7/4)*(side a^2/tan(80/7)) or A=(7/4)(a^2)(cot(pi/7)) Square units and is represented as A = (7/4)*(((p*((2*sin((pi/2/7)))))^2)/tan(pi/7)) or area = (7/4)*(((Long diagonal*((2*sin((pi/2/7)))))^2)/tan(pi/7)). Long diagonal is a straight line joining two opposite corners of a given polygon.
How to calculate Area of Heptagon given long diagonal?
The Area of heptagon given long diagonal formula is defined as the total area that the surface of the object occupies of heptagon (7/4)*(side a^2/tan(80/7)) or A=(7/4)(a^2)(cot(pi/7)) Square units is calculated using area = (7/4)*(((Long diagonal*((2*sin((pi/2/7)))))^2)/tan(pi/7)). To calculate Area of Heptagon given long diagonal, you need Long diagonal (p). With our tool, you need to enter the respective value for Long diagonal 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 Long diagonal. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • area = (7/2)*Side*Inradius
  • area = (1/2)*Side*Inradius
  • area = (7*Side^2)/(4*tan(pi/7))
  • area = 3.634*(Side^2)
  • area = (7/4)*(((Long diagonal*((2*sin((pi/2/7)))))^2)/tan(pi/7))
  • area = (7/4)*(((Short diagonal/(2*cos(pi/7)))^2)/tan(pi/7))
  • area = (7/4)*(((Height*(2*tan(pi/2/7)))^2)/tan(pi/7))
  • area = (7/4)*(((Perimeter/7)^2)/tan(pi/7))
  • area = (7/4)*(((Circumradius*(2*sin(pi/7)))^2)/tan(pi/7))
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