Area of Decagon given Circumradius Calculator

✖Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.ⓘ Circumradius of Decagon [r_c]

+10%

-10%

✖Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.ⓘ Area of Decagon given Circumradius [A]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Decagon Formula PDF PDF Image

Area of Decagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2
A = 5/2*sqrt(5+(2*sqrt(5)))*((2*r_c)/(1+sqrt(5)))^2
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Area of Decagon - (Measured in Square Meter) - Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.
Circumradius of Decagon - (Measured in Meter) - Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Decagon: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 5/2*sqrt(5+(2*sqrt(5)))*((2*r_c)/(1+sqrt(5)))^2 --> 5/2*sqrt(5+(2*sqrt(5)))*((2*16)/(1+sqrt(5)))^2

Evaluating ... ...

A = 752.365122934366

STEP 3: Convert Result to Output's Unit

752.365122934366 Square Meter --> No Conversion Required

FINAL ANSWER

752.365122934366 ≈ 752.3651 Square Meter <-- Area of Decagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Decagon » Area of Decagon » Area of Decagon given Circumradius

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!

< Area of Decagon Calculators

Area of Decagon given Diagonal across Three Sides

LaTeX Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))))^2

Area of Decagon given Diagonal across Five Sides

LaTeX Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Diagonal across Five Sides of Decagon/(1+sqrt(5)))^2

Area of Decagon given Diagonal across Four Sides

LaTeX Go Area of Decagon = 5/2*(Diagonal across Four Sides of Decagon)^2/sqrt(5+(2*sqrt(5)))

Area of Decagon

LaTeX Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*Side of Decagon^2

< Area of Decagon Calculators

Area of Decagon given Circumradius

LaTeX Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2

Area of Decagon given Perimeter

LaTeX Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Perimeter of Decagon/10)^2

Area of Decagon

LaTeX Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*Side of Decagon^2

Area of Decagon given Circumradius Formula

LaTeX Go

Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2
A = 5/2*sqrt(5+(2*sqrt(5)))*((2*r_c)/(1+sqrt(5)))^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 Circumradius?

Area of Decagon given Circumradius calculator uses Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2 to calculate the Area of Decagon, The Area of Decagon given Circumradius formula is defined as the measure of the total 2d space that the surface of the object occupies of the Decagon, calculated using its circumradius. Area of Decagon is denoted by A symbol.

How to calculate Area of Decagon given Circumradius using this online calculator? To use this online calculator for Area of Decagon given Circumradius, enter Circumradius of Decagon (r_c) and hit the calculate button. Here is how the Area of Decagon given Circumradius calculation can be explained with given input values -> 752.3651 = 5/2*sqrt(5+(2*sqrt(5)))*((2*16)/(1+sqrt(5)))^2.

FAQ

What is Area of Decagon given Circumradius?

The Area of Decagon given Circumradius formula is defined as the measure of the total 2d space that the surface of the object occupies of the Decagon, calculated using its circumradius and is represented as A = 5/2*sqrt(5+(2*sqrt(5)))*((2*r_c)/(1+sqrt(5)))^2 or Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2. Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.

How to calculate Area of Decagon given Circumradius?

The Area of Decagon given Circumradius formula is defined as the measure of the total 2d space that the surface of the object occupies of the Decagon, calculated using its circumradius is calculated using Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2. To calculate Area of Decagon given Circumradius, you need Circumradius of Decagon (r_c). With our tool, you need to enter the respective value for Circumradius of Decagon 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 Decagon?

In this formula, Area of Decagon uses Circumradius of Decagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*Side of Decagon^2
Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Diagonal across Five Sides of Decagon/(1+sqrt(5)))^2
Area of Decagon = 5/2*(Diagonal across Four Sides of Decagon)^2/sqrt(5+(2*sqrt(5)))

Home

FREE PDFs

🔍 Search