Radius of the circumscribed circle of a regular polygon Calculator

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✖Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side A [a]			+10% -10%
✖The number of Sides is used to classify the polygons.ⓘ Number of sides [n]			+10% -10%

✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius of the circumscribed circle of a regular polygon [r]

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Radius of the circumscribed circle of a regular polygon

Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 400+ more calculators!

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has verified this Calculator and 400+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Radius of Inscribed Circle

Radius Of Inscribed Circle=sqrt((Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)/Semiperimeter Of Triangle ) GO

Area of Triangle when semiperimeter is given

Area Of Triangle=sqrt(Semiperimeter Of Triangle *(Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)) GO

Area of a Triangle when sides are given

Area=sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 GO

Radius of circumscribed circle

Radius Of Circumscribed Circle=(Side A*Side B*Side C)/(4*Area Of Triangle) GO

side b of a triangle

Side B=sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B)) GO

Perimeter of a Right Angled Triangle

Perimeter=Side A+Side B+sqrt(Side A^2+Side B^2) GO

Perimeter of Triangle

Perimeter Of Triangle=Side A+Side B+Side C GO

Perimeter of a Parallelogram

Perimeter=2*Side A+2*Side B GO

Perimeter of a Kite

Perimeter=2*(Side A+Side B) GO

Perimeter of an Isosceles Triangle

Perimeter=Side A+2*Side B GO

Area of a Square when side is given

Area=(Side A)^2 GO

< 11 Other formulas that calculate the same Output

Radius of the circumcircle of a triangle

Radius=((Side A)*(Side B)*(Side C))/4*(sqrt(Semiperimeter *(Semiperimeter -Side A)*(Semiperimeter -Side B)*(Semiperimeter -Side C))) GO

Radius Of The Orbit

Radius=(Quantum Number*Plancks Constant)/(2*pi*Mass*Velocity) GO

Bohr's Radius

Radius=(Quantum Number/Atomic number)*0.529*10^-10 GO

Inner radius of a hallow cylinder

Radius=(Inner curved surface area)/(2*pi*Height) GO

Radius of circle when area of sector and angle are given

Radius=(2*Area of Sector/Central Angle)^0.5 GO

Outer radius of hollow cylinder

Radius=(Outer surface area)/(2*pi*Height) GO

Radius of a circle when circumference is given

Radius=(Circumference of Circle)/(pi*2) GO

Radius of a circle when area is given

Radius=sqrt(Area of Circle/pi) GO

Radius of Sphere

Radius=(1/2)*sqrt(Area/pi) GO

Radius of the circumscribed circle of an equilateral triangle if given side

Radius=Side/sqrt(3) GO

Radius of a circle when diameter is given

Radius=Diameter /2 GO

Radius of the circumscribed circle of a regular polygon Formula

Radius=(Side A)/(2*(sin((180*pi/180)/Number of sides)))
r=(a)/(2*(sin((180*pi/180)/n)))

More formulas

Radius of the circumcircle of a triangle GO

Radius of the circumscribed circle of an equilateral triangle if given side GO

Radius of the circumscribed circle of an equilateral triangle if given height GO

Radius of the circumscribed circle of an isosceles triangle GO

Radius of the circumscribed circle of a right triangle when two sides are given GO

Radius of the circumscribed circle of a right triangle when given hypotenuse GO

Radius of the circumscribed circle of a rectangle given two sides GO

Radius of the circumscribed circle of a rectangle given diagonal GO

Radius of the circumcircle of a regular hexagon GO

Radius of the circumscribed circle of a square given side GO

Radius of the circumscribed circle of a square given GO

Radius of the circumscribed circle of an isosceles trapezoid if given sides and diagonal GO

Radius of the circumscribed circle of an isosceles trapezoid if given longer sides and diagonal GO

Radius of the circumcircle of a triangle GO

Radius of the circumscribed circle of an isosceles trapezoid if given semiperimeter and base length. GO

Radius of circumscribed circle of a isosceles trapezoid given semiperimeter and larger base length. GO

What is a polygon..?

In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shapes with straight sides. It does not have curved sides. Polygons can be of two types: Regular Polygons – Polygons that have equal sides and angles are regular polygons. Irregular Polygons – Polygons with unequal sides and angles are irregular polygons.

How to Calculate Radius of the circumscribed circle of a regular polygon?

Radius of the circumscribed circle of a regular polygon calculator uses Radius=(Side A)/(2*(sin((180*pi/180)/Number of sides))) to calculate the Radius, The Radius of the circumscribed circle of a regular polygon formula is defined as the radius of the circle circumscribing the regular polygon. Radius and is denoted by r symbol.

How to calculate Radius of the circumscribed circle of a regular polygon using this online calculator? To use this online calculator for Radius of the circumscribed circle of a regular polygon, enter Side A (a) and Number of sides (n) and hit the calculate button. Here is how the Radius of the circumscribed circle of a regular polygon calculation can be explained with given input values -> 680.5206 = (8)/(2*(sin((180*pi/180)/5))).

FAQ

What is Radius of the circumscribed circle of a regular polygon?

The Radius of the circumscribed circle of a regular polygon formula is defined as the radius of the circle circumscribing the regular polygon and is represented as r=(a)/(2*(sin((180*pi/180)/n))) or Radius=(Side A)/(2*(sin((180*pi/180)/Number of sides))). Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back and The number of Sides is used to classify the polygons.

How to calculate Radius of the circumscribed circle of a regular polygon?

The Radius of the circumscribed circle of a regular polygon formula is defined as the radius of the circle circumscribing the regular polygon is calculated using Radius=(Side A)/(2*(sin((180*pi/180)/Number of sides))). To calculate Radius of the circumscribed circle of a regular polygon, you need Side A (a) and Number of sides (n). With our tool, you need to enter the respective value for Side A and Number of sides 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 Radius?

In this formula, Radius uses Side A and Number of sides. We can use 11 other way(s) to calculate the same, which is/are as follows -

Radius=(Circumference of Circle)/(pi*2)
Radius=sqrt(Area of Circle/pi)
Radius=Diameter /2
Radius=(Quantum Number/Atomic number)*0.529*10^-10
Radius=(Quantum Number*Plancks Constant)/(2*pi*Mass*Velocity)
Radius=(1/2)*sqrt(Area/pi)
Radius=(2*Area of Sector/Central Angle)^0.5
Radius=(Inner curved surface area)/(2*pi*Height)
Radius=(Outer surface area)/(2*pi*Height)
Radius=((Side A)*(Side B)*(Side C))/4*(sqrt(Semiperimeter *(Semiperimeter -Side A)*(Semiperimeter -Side B)*(Semiperimeter -Side C)))
Radius=Side/sqrt(3)

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