Area of Heptagon given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)
A = 7/4*((2*h*tan(((pi/2))/7))^2)/tan(pi/7)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
Area of Heptagon - (Measured in Square Meter) - The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.
Height of Heptagon - (Measured in Meter) - Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.
STEP 1: Convert Input(s) to Base Unit
Height of Heptagon: 22 Meter --> 22 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 7/4*((2*h*tan(((pi/2))/7))^2)/tan(pi/7) --> 7/4*((2*22*tan(((pi/2))/7))^2)/tan(pi/7)
Evaluating ... ...
A = 366.502170898373
STEP 3: Convert Result to Output's Unit
366.502170898373 Square Meter --> No Conversion Required
FINAL ANSWER
366.502170898373 366.5022 Square Meter <-- Area of Heptagon
(Calculation completed in 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1100+ more calculators!

9 Area of Heptagon Calculators

Area of Heptagon given Long Diagonal
Go Area of Heptagon = 7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)
Area of Heptagon given Short Diagonal
Go Area of Heptagon = 7/4*((Short Diagonal of Heptagon/(2*cos(pi/7)))^2)/tan(pi/7)
Area of Heptagon given Height
Go Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)
Area of Heptagon given Width
Go Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)
Area of Heptagon given Circumradius
Go Area of Heptagon = 7/4*(2*Circumradius of Heptagon*sin(pi/7))^2/tan(pi/7)
Area of Heptagon given Inradius
Go Area of Heptagon = 7/4*(Inradius of Heptagon*2*tan(pi/7))^2/tan(pi/7)
Area of Heptagon given Perimeter
Go Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7)
Area of Heptagon
Go Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7))
Area of Triangle of Heptagon given Inradius
Go Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon

4 Area of Heptagon Calculators

Area of Heptagon given Height
Go Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)
Area of Heptagon given Perimeter
Go Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7)
Area of Heptagon
Go Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7))
Area of Triangle of Heptagon given Inradius
Go Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon

Area of Heptagon given Height Formula

Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)
A = 7/4*((2*h*tan(((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 Height?

Area of Heptagon given Height calculator uses Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7) to calculate the Area of Heptagon, The Area of Heptagon given Height formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using height. Area of Heptagon is denoted by A symbol.

How to calculate Area of Heptagon given Height using this online calculator? To use this online calculator for Area of Heptagon given Height, enter Height of Heptagon (h) and hit the calculate button. Here is how the Area of Heptagon given Height calculation can be explained with given input values -> 366.5022 = 7/4*((2*22*tan(((pi/2))/7))^2)/tan(pi/7).

FAQ

What is Area of Heptagon given Height?
The Area of Heptagon given Height formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using height and is represented as A = 7/4*((2*h*tan(((pi/2))/7))^2)/tan(pi/7) or Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7). Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.
How to calculate Area of Heptagon given Height?
The Area of Heptagon given Height formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using height is calculated using Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7). To calculate Area of Heptagon given Height, you need Height of Heptagon (h). With our tool, you need to enter the respective value for Height of Heptagon 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 of Heptagon?
In this formula, Area of Heptagon uses Height of Heptagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Area of Heptagon = 7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)
  • Area of Heptagon = 7/4*((Short Diagonal of Heptagon/(2*cos(pi/7)))^2)/tan(pi/7)
  • Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7)
  • Area of Heptagon = 7/4*(2*Circumradius of Heptagon*sin(pi/7))^2/tan(pi/7)
  • Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7))
  • Area of Heptagon = 7/4*(Inradius of Heptagon*2*tan(pi/7))^2/tan(pi/7)
  • Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)
  • Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7))
  • Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!