Circumradius of Nonagon given Area Calculator

✖The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.ⓘ Area of Nonagon [A]

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✖The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.ⓘ Circumradius of Nonagon given Area [r_c]

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Circumradius of Nonagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9)))
r_c = sqrt((2*A)/(9*sin(2*pi/9)))
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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

Circumradius of Nonagon - (Measured in Meter) - The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.
Area of Nonagon - (Measured in Square Meter) - The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Area of Nonagon: 395 Square Meter --> 395 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt((2*A)/(9*sin(2*pi/9))) --> sqrt((2*395)/(9*sin(2*pi/9)))

Evaluating ... ...

r_c = 11.6858025123544

STEP 3: Convert Result to Output's Unit

11.6858025123544 Meter --> No Conversion Required

FINAL ANSWER

11.6858025123544 ≈ 11.6858 Meter <-- Circumradius of Nonagon

(Calculation completed in 00.006 seconds)

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< Circumradius of Nonagon Calculators

Circumradius of Nonagon given Diagonal across Three Sides

LaTeX Go Circumradius of Nonagon = Diagonal across Three Sides of Nonagon/(2*sin(3*pi/9))

Circumradius of Nonagon given Diagonal across Four Sides

LaTeX Go Circumradius of Nonagon = Diagonal across Four Sides of Nonagon/(2*sin(4*pi/9))

Circumradius of Nonagon given Diagonal across Two Sides

LaTeX Go Circumradius of Nonagon = Diagonal across Two Sides of Nonagon/(2*sin(2*pi/9))

Circumradius of Nonagon

LaTeX Go Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))

Circumradius of Nonagon given Area Formula

LaTeX Go

Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9)))
r_c = sqrt((2*A)/(9*sin(2*pi/9)))

What is Nonagon?

A Nonagon is a polygon with nine sides and nine angles. The term ‘nonagon’ is a hybrid of the Latin word ‘nonus’ meaning nine and the Greek word ‘gon’ meaning sides. It is also known as ‘enneagon’, derived from the Greek word ‘enneagonon’, also meaning nine.

How to Calculate Circumradius of Nonagon given Area?

Circumradius of Nonagon given Area calculator uses Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9))) to calculate the Circumradius of Nonagon, Circumradius of Nonagon given Area formula is defined as the length of the line connecting the circumcenter and any point of the circle that touches all vertices of Nonagon, calculated using the area. Circumradius of Nonagon is denoted by r_c symbol.

How to calculate Circumradius of Nonagon given Area using this online calculator? To use this online calculator for Circumradius of Nonagon given Area, enter Area of Nonagon (A) and hit the calculate button. Here is how the Circumradius of Nonagon given Area calculation can be explained with given input values -> 11.6858 = sqrt((2*395)/(9*sin(2*pi/9))).

FAQ

What is Circumradius of Nonagon given Area?

Circumradius of Nonagon given Area formula is defined as the length of the line connecting the circumcenter and any point of the circle that touches all vertices of Nonagon, calculated using the area and is represented as r_c = sqrt((2*A)/(9*sin(2*pi/9))) or Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9))). The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.

How to calculate Circumradius of Nonagon given Area?

Circumradius of Nonagon given Area formula is defined as the length of the line connecting the circumcenter and any point of the circle that touches all vertices of Nonagon, calculated using the area is calculated using Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9))). To calculate Circumradius of Nonagon given Area, you need Area of Nonagon (A). With our tool, you need to enter the respective value for Area of Nonagon 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 Circumradius of Nonagon?

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

Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))
Circumradius of Nonagon = Diagonal across Four Sides of Nonagon/(2*sin(4*pi/9))
Circumradius of Nonagon = Diagonal across Two Sides of Nonagon/(2*sin(2*pi/9))

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