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Width of Heptagon given Circumradius Formula

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GoWidth of Heptagon given Inradius Formula

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

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

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

Width of Heptagon given Circumradius Example

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

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

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

23.3983 = 12 \cdot \frac{\sin (\frac{3.1416}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

23.3983m = 12m \cdot \frac{\sin (\frac{3.1416}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

23.3983 = 12 \cdot \frac{\sin (\frac{3.1416}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

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Width of Heptagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = 12m \cdot \frac{\sin (\frac{π}{7})}{\sin (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Constants

∴

w = 12m \cdot \frac{\sin (\frac{3.1416}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

Next Step Prepare to Evaluate

∴

w = 12 \cdot \frac{\sin (\frac{3.1416}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

Next Step Evaluate

∴

w = 23.3982698923638m

LAST Step Rounding Answer

∴

w = 23.3983m

Width of Heptagon given Circumradius Formula Elements

Variables

Constants

Functions

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

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

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 Width of Heptagon

Go Width of Heptagon

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

Go Width of Heptagon given Inradius

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

Go Width of Heptagon given Area

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

Go Width of Heptagon given Perimeter

w = \frac{P}{14 \cdot \sin (\frac{(\frac{π}{2})}{7})}

How to Evaluate Width of Heptagon given Circumradius?

Width of Heptagon given Circumradius evaluator uses Width of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7) to evaluate the Width of Heptagon, The Width of Heptagon given Circumradius formula is defined as the horizontal distance from the left-most edge to the right-most edge of the Regular Heptagon, and is calculated using the circumradius of the Heptagon. Width of Heptagon is denoted by w symbol.

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

FAQs on Width of Heptagon given Circumradius

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

The formula of Width of Heptagon given Circumradius is expressed as Width of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7). Here is an example- 23.39827 = 12*sin(pi/7)/sin(((pi/2))/7).

How to calculate Width of Heptagon given Circumradius?

With Circumradius of Heptagon (r_c) we can find Width of Heptagon given Circumradius using the formula - Width of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Width of Heptagon?

Here are the different ways to Calculate Width of Heptagon-

Width of Heptagon=Side of Heptagon/(2*sin(((pi/2))/7))
Width of Heptagon=Inradius of Heptagon*tan(pi/7)/sin(((pi/2))/7)
Width of Heptagon=sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*sin(((pi/2))/7))

Can the Width of Heptagon given Circumradius be negative?

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

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

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

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