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Area of Heptagon given circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (7/4)*(((Circumradius*(2*sin(pi/7)))^2)/tan(pi/7))
A = (7/4)*(((rc*(2*sin(pi/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
Circumradius - Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Circumradius: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (7/4)*(((rc*(2*sin(pi/7)))^2)/tan(pi/7)) --> (7/4)*(((15*(2*sin(pi/7)))^2)/tan(pi/7))
Evaluating ... ...
A = 615.692292443574
STEP 3: Convert Result to Output's Unit
615.692292443574 Square Meter --> No Conversion Required
FINAL ANSWER
615.692292443574 Square Meter <-- Area
(Calculation completed in 00.015 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 circumradius Formula

area = (7/4)*(((Circumradius*(2*sin(pi/7)))^2)/tan(pi/7))
A = (7/4)*(((rc*(2*sin(pi/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 circumradius?

Area of Heptagon given circumradius calculator uses area = (7/4)*(((Circumradius*(2*sin(pi/7)))^2)/tan(pi/7)) to calculate the Area, The Area of heptagon given circumradius formula is defined as measure of 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 circumradius using this online calculator? To use this online calculator for Area of Heptagon given circumradius, enter Circumradius (rc) and hit the calculate button. Here is how the Area of Heptagon given circumradius calculation can be explained with given input values -> 615.6923 = (7/4)*(((15*(2*sin(pi/7)))^2)/tan(pi/7)).

FAQ

What is Area of Heptagon given circumradius?
The Area of heptagon given circumradius formula is defined as measure of 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)*(((rc*(2*sin(pi/7)))^2)/tan(pi/7)) or area = (7/4)*(((Circumradius*(2*sin(pi/7)))^2)/tan(pi/7)). Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices.
How to calculate Area of Heptagon given circumradius?
The Area of heptagon given circumradius formula is defined as measure of 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)*(((Circumradius*(2*sin(pi/7)))^2)/tan(pi/7)). To calculate Area of Heptagon given circumradius, you need Circumradius (rc). With our tool, you need to enter the respective value for Circumradius 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 Circumradius. 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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