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Circumradius of Heptagon given Width Formula

GoCircumradius of Heptagon Formula

GoCircumradius of Heptagon given Long Diagonal 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 = w \cdot \frac{\sin (\frac{(\frac{π}{2})}{7})}{\sin (\frac{π}{7})}

r_c - Circumradius of Heptagon?w - Width of Heptagon?π - Archimedes' constant?

Circumradius of Heptagon given Width Example

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

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

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

11.7957 = 23 \cdot \frac{\sin (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{3.1416}{7})}

11.7957m = 23m \cdot \frac{\sin (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{3.1416}{7})}

11.7957 = 23 \cdot \frac{\sin (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{3.1416}{7})}

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Circumradius of Heptagon given Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = 23m \cdot \frac{\sin (\frac{(\frac{π}{2})}{7})}{\sin (\frac{π}{7})}

Next Step Substitute values of Constants

∴

r c = 23m \cdot \frac{\sin (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

r c = 23 \cdot \frac{\sin (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{3.1416}{7})}

Next Step Evaluate

∴

r c = 11.7957439276344m

LAST Step Rounding Answer

∴

r c = 11.7957m

Circumradius of Heptagon given Width 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

Width of Heptagon

The Width of Heptagon is the horizontal distance from the left most edge to the right most edge of the Regular Heptagon.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width 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)

Other Formulas to find Circumradius of Heptagon

Go Circumradius of Heptagon

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

Go Circumradius of Heptagon given Long Diagonal

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

Go Circumradius of Heptagon given Short Diagonal

r c = \frac{\frac{d Short}{2 \cdot \cos (\frac{π}{7})}}{2 \cdot \sin (\frac{π}{7})}

Go Circumradius of Heptagon given Height

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

How to Evaluate Circumradius of Heptagon given Width?

Circumradius of Heptagon given Width evaluator uses Circumradius of Heptagon = Width of Heptagon*sin(((pi/2))/7)/sin(pi/7) to evaluate the Circumradius of Heptagon, The Circumradius of Heptagon given Width formula is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon, calculated using its width. Circumradius of Heptagon is denoted by r_c symbol.

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

FAQs on Circumradius of Heptagon given Width

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

The formula of Circumradius of Heptagon given Width is expressed as Circumradius of Heptagon = Width of Heptagon*sin(((pi/2))/7)/sin(pi/7). Here is an example- 11.79574 = 23*sin(((pi/2))/7)/sin(pi/7).

How to calculate Circumradius of Heptagon given Width?

With Width of Heptagon (w) we can find Circumradius of Heptagon given Width using the formula - Circumradius of Heptagon = Width of Heptagon*sin(((pi/2))/7)/sin(pi/7). This formula also uses Archimedes' constant and Sine 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))
Circumradius of Heptagon=Long Diagonal of Heptagon*sin(((pi/2))/7)/sin(pi/7)
Circumradius of Heptagon=(Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(pi/7))

Can the Circumradius of Heptagon given Width be negative?

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

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

Circumradius of Heptagon given Width 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 Width can be measured.

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