Side of a polygon circumscribed by a circle Calculator

Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D-Geometry	Polygon ↺
Polygon	Circumscribed circle of a polygon ↺

✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+10% -10%
✖The number of Sides is used to classify the polygons.ⓘ Number of sides [n]			+10% -10%

✖The side 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 of a polygon circumscribed by a circle [s]

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Side of a polygon circumscribed by a circle

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

Total Surface Area of a Cone

Total Surface Area=pi*Radius*(Radius+sqrt(Radius^2+Height^2)) GO

Lateral Surface Area of a Cone

Lateral Surface Area=pi*Radius*sqrt(Radius^2+Height^2) GO

Surface Area of a Capsule

Surface Area=2*pi*Radius*(2*Radius+Side) GO

Volume of a Capsule

Volume=pi*(Radius)^2*((4/3)*Radius+Side) GO

Volume of a Circular Cone

Volume=(1/3)*pi*(Radius)^2*Height GO

Base Surface Area of a Cone

Base Surface Area=pi*Radius^2 GO

Top Surface Area of a Cylinder

Top Surface Area=pi*Radius^2 GO

Volume of a Circular Cylinder

Volume=pi*(Radius)^2*Height GO

Area of a Circle when radius is given

Area of Circle=pi*Radius^2 GO

Volume of a Hemisphere

Volume=(2/3)*pi*(Radius)^3 GO

Volume of a Sphere

Volume=(4/3)*pi*(Radius)^3 GO

< 11 Other formulas that calculate the same Output

Side of a parallelogram when diagonal and the angle between diagonals are given

Side=sqrt((Diagonal 1)^2+(Diagonal 2)^2-(2*Diagonal 1*Diagonal 2*Angle Between Two Diagonals))/2 GO

Side of a parallelogram when diagonal and the angle between diagonals are given

Side=sqrt((Diagonal A)^2+(Diagonal B)^2+(2*Diagonal A*Diagonal B*Angle Between Two Diagonals))/2 GO

Side of a regular polygon when area is given

Side=sqrt(4*Area of regular polygon*tan((180*pi/180)/Number of sides))/sqrt(Number of sides) GO

Side of a rhombus when diagonal and angle are given

Side=Diagonal/sqrt(2+2*cos(Half angle between sides)) GO

Side of a regular polygon when perimeter is given

Side=Perimeter of Regular Polygon/Number of sides GO

Side of a rhombus when diagonal and half-angle are given

Side=Diagonal/(2*cos(Angle Between Sides)) GO

Side of a Rhombus when diagonals are given

Side=sqrt(Diagonal 1^2+Diagonal 2^2)/2 GO

Side length of a Right square pyramid when volume and height are given

Side=sqrt((3*Volume)/Height) GO

Side of a rhombus when area and inradius are given

Side=Area/(2*Inradius) GO

Side of a rhombus when perimeter is given

Side=Perimeter/4 GO

Side of Largest Cube that can be inscribed within a right circular cylinder of height h

Side=Height GO

Side of a polygon circumscribed by a circle Formula

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

More formulas

Area of Circumscribed circle of polygon GO

Perimeter of the circumscribed circle in a polygon GO

Number of sides of a polygon circumscribed by a circle 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 Side of a polygon circumscribed by a circle?

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

How to calculate Side of a polygon circumscribed by a circle using this online calculator? To use this online calculator for Side of a polygon circumscribed by a circle, enter Radius (r) and Number of sides (n) and hit the calculate button. Here is how the Side of a polygon circumscribed by a circle calculation can be explained with given input values -> 0.211603 = 2*0.18*sin((180*pi/180)/5).

FAQ

What is Side of a polygon circumscribed by a circle?

The Side of a polygon circumscribed by a circle formula is defined as the side of the polygon circumscribed by the circle and is represented as s=2*r*sin((180*pi/180)/n) or Side=2*Radius*sin((180*pi/180)/Number of sides). Radius is a radial line from the focus to any point of a curve and The number of Sides is used to classify the polygons.

How to calculate Side of a polygon circumscribed by a circle?

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

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

Side=Height
Side=Area/(2*Inradius)
Side=sqrt(Diagonal 1^2+Diagonal 2^2)/2
Side=Perimeter/4
Side=Diagonal/sqrt(2+2*cos(Half angle between sides))
Side=Diagonal/(2*cos(Angle Between Sides))
Side=sqrt((Diagonal 1)^2+(Diagonal 2)^2-(2*Diagonal 1*Diagonal 2*Angle Between Two Diagonals))/2
Side=sqrt((Diagonal A)^2+(Diagonal B)^2+(2*Diagonal A*Diagonal B*Angle Between Two Diagonals))/2
Side=Perimeter of Regular Polygon/Number of sides
Side=sqrt(4*Area of regular polygon*tan((180*pi/180)/Number of sides))/sqrt(Number of sides)
Side=sqrt((3*Volume)/Height)

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