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Circumradius of Heptagon given Perimeter 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 = \frac{\frac{P}{7}}{2 \cdot \sin (\frac{π}{7})}

r_c - Circumradius of Heptagon?P - Perimeter of Heptagon?π - Archimedes' constant?

Circumradius of Heptagon given Perimeter Example

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

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

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

11.5238 = \frac{\frac{70}{7}}{2 \cdot \sin (\frac{3.1416}{7})}

11.5238m = \frac{\frac{70m}{7}}{2 \cdot \sin (\frac{3.1416}{7})}

11.5238 = \frac{\frac{70}{7}}{2 \cdot \sin (\frac{3.1416}{7})}

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Circumradius of Heptagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\frac{70m}{7}}{2 \cdot \sin (\frac{π}{7})}

Next Step Substitute values of Constants

∴

r c = \frac{\frac{70m}{7}}{2 \cdot \sin (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

r c = \frac{\frac{70}{7}}{2 \cdot \sin (\frac{3.1416}{7})}

Next Step Evaluate

∴

r c = 11.5238243548124m

LAST Step Rounding Answer

∴

r c = 11.5238m

Circumradius of Heptagon given Perimeter 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

Perimeter of Heptagon

Perimeter of Heptagon is the total length around the edge of the Heptagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Perimeter?

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

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

FAQs on Circumradius of Heptagon given Perimeter

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

The formula of Circumradius of Heptagon given Perimeter is expressed as Circumradius of Heptagon = (Perimeter of Heptagon/7)/(2*sin(pi/7)). Here is an example- 11.52382 = (70/7)/(2*sin(pi/7)).

How to calculate Circumradius of Heptagon given Perimeter?

With Perimeter of Heptagon (P) we can find Circumradius of Heptagon given Perimeter using the formula - Circumradius of Heptagon = (Perimeter of Heptagon/7)/(2*sin(pi/7)). This formula also uses Archimedes' constant and Sine (sin) 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 Perimeter be negative?

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

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

Circumradius of Heptagon given Perimeter 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 Perimeter can be measured.

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