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Circumradius of Heptagon given Area Formula

GoCircumradius of Heptagon Formula

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Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon. Check FAQs

r c = \frac{\sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{7})}{7}}}{2 \cdot \sin (\frac{π}{7})}

r_c - Circumradius of Heptagon?A - Area of Heptagon?π - Archimedes' constant?

Circumradius of Heptagon given Area Example

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Here is how the Circumradius of Heptagon given Area equation looks like with Values.

Here is how the Circumradius of Heptagon given Area equation looks like with Units.

Here is how the Circumradius of Heptagon given Area equation looks like.

11.5493 = \frac{\sqrt{\frac{4 \cdot 365 \cdot \tan (\frac{3.1416}{7})}{7}}}{2 \cdot \sin (\frac{3.1416}{7})}

11.5493m = \frac{\sqrt{\frac{4 \cdot 365m² \cdot \tan (\frac{3.1416}{7})}{7}}}{2 \cdot \sin (\frac{3.1416}{7})}

11.5493 = \frac{\sqrt{\frac{4 \cdot 365 \cdot \tan (\frac{3.1416}{7})}{7}}}{2 \cdot \sin (\frac{3.1416}{7})}

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Circumradius of Heptagon given Area Solution

Follow our step by step solution on how to calculate Circumradius of Heptagon given Area?

FIRST Step Consider the formula

r c = \frac{\sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{7})}{7}}}{2 \cdot \sin (\frac{π}{7})}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{\frac{4 \cdot 365m² \cdot \tan (\frac{π}{7})}{7}}}{2 \cdot \sin (\frac{π}{7})}

Next Step Substitute values of Constants

∴

r c = \frac{\sqrt{\frac{4 \cdot 365m² \cdot \tan (\frac{3.1416}{7})}{7}}}{2 \cdot \sin (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{\frac{4 \cdot 365 \cdot \tan (\frac{3.1416}{7})}{7}}}{2 \cdot \sin (\frac{3.1416}{7})}

Next Step Evaluate

∴

r c = 11.549304528311m

LAST Step Rounding Answer

∴

r c = 11.5493m

Circumradius of Heptagon given Area Formula Elements

Variables

Constants

Functions

Circumradius of Heptagon

Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Heptagon

Area of Heptagon

The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Heptagon

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

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.

Syntax: tan(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.

Syntax: sqrt(Number)

Other Formulas to find Circumradius of Heptagon

Go Circumradius of Heptagon

r c = \frac{S}{2 \cdot \sin (\frac{π}{7})}

Other formulas in Circumradius of Heptagon category

Go Inradius of Heptagon

r i = \frac{S}{2 \cdot \tan (\frac{π}{7})}

Go Inradius of Heptagon given Area of Triangle

r i = \frac{2 \cdot A Triangle}{S}

How to Evaluate Circumradius of Heptagon given Area?

Circumradius of Heptagon given Area evaluator uses Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7)) to evaluate the Circumradius of Heptagon, The Circumradius of Heptagon given Area formula is defined as the length of the straight line from the center to any point on the circumcircle of the Heptagon, calculated using area. Circumradius of Heptagon is denoted by r_c symbol.

How to evaluate Circumradius of Heptagon given Area using this online evaluator? To use this online evaluator for Circumradius of Heptagon given Area, enter Area of Heptagon (A) and hit the calculate button.

FAQs on Circumradius of Heptagon given Area

What is the formula to find Circumradius of Heptagon given Area?

The formula of Circumradius of Heptagon given Area is expressed as Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7)). Here is an example- 11.5493 = (sqrt((4*365*tan(pi/7))/7))/(2*sin(pi/7)).

How to calculate Circumradius of Heptagon given Area?

With Area of Heptagon (A) we can find Circumradius of Heptagon given Area using the formula - Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7)). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan), Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Heptagon?

Here are the different ways to Calculate Circumradius of Heptagon-

Circumradius of Heptagon=Side of Heptagon/(2*sin(pi/7))

Can the Circumradius of Heptagon given Area be negative?

No, the Circumradius of Heptagon given Area, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Heptagon given Area?

Circumradius of Heptagon given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumradius of Heptagon given Area can be measured.

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