Circumradius of a regular polygon when the inradius is given Calculator

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✖Inradius of Regular Polygon is the distance between the center of a regular polygon and the midpoint of the side.ⓘ Inradius of Regular Polygon [ir]			+10% -10%
✖The number of Sides is used to classify the polygons.ⓘ Number of sides [n]			+10% -10%

✖The radius Of the Circumscribed Circle represents the radius of the circumscribed circle.ⓘ Circumradius of a regular polygon when the inradius is given [r]

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Circumradius of a regular polygon when the inradius is given

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

Area of a regular polygon when circumradius is given

Area of regular polygon=(Radius Of Circumscribed Circle^2*Number of sides*sin((2*pi*180)/(Number of sides*pi)))/2 GO

Area of a regular polygon when inradius is given

Area of regular polygon=(Inradius of Regular Polygon^2*Number of sides*tan((pi*180)/(Number of sides*pi))) GO

Side of regular inscribed polygon

Side of regular inscribed polygon=2*Radius Of Circumscribed Circle*sin(180/Number of sides) GO

Area of regular polygon with perimeter and inradius

Area of regular polygon=(Perimeter of Regular Polygon*Inradius of Regular Polygon)/2 GO

Interior angle of regular polygon

Interior angle of regular polygon=((Number of sides-2)*180)/Number of sides GO

Sum of the interior angles of regular polygon

Sum of the interior angles of regular polygon=(Number of sides-2)*180 GO

Inradius of a Regular Polygon

Inradius of Regular Polygon=(Side)/(2*tan(180/Number of sides)) GO

Radius of regular polygon

Radius of regular polygon=Side/(2*sin(180/Number of sides)) GO

Perimeter of Regular Polygon

Perimeter of Regular Polygon=Number of sides*Side GO

Number of Diagonals

Diagonals=(Number of sides*(Number of sides-3))/2 GO

Measure of exterior angle of regular polygon

Measure of exterior angle =360/Number of sides GO

< 11 Other formulas that calculate the same Output

Radius of the circumscribed circle when perimeter and breadth are given

Radius Of Circumscribed Circle=sqrt((Perimeter)^2-4*Perimeter*Breadth-8*(Breadth)^2)/4 GO

Radius of rectangle circumscribed circle when perimeter and length of the rectangle are given

Radius Of Circumscribed Circle=sqrt((Perimeter)^2-4*Perimeter*Length+8*(Length)^2)/4 GO

Radius of circumscribed circle

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

The radius of a circumscribed circle when the diameter of a circumscribed circle is given

Radius Of Circumscribed Circle=Diameter of Circumscribed Circle/2 GO

The radius of the rectangle circumscribed circle when rectangle sides are given

Radius Of Circumscribed Circle=sqrt((Length)^2+(Breadth)^2)/2 GO

Square circumradius when the side of the square is given

Radius Of Circumscribed Circle=Side of square/sqrt(2) GO

The radius of the circumscribed circle in terms of cosine of the angle that adjacent to the diagonal and the adjacent side of

Radius Of Circumscribed Circle=Breadth/2*cos(Theta) GO

Square circumradius when the perimeter of the square is given

Radius Of Circumscribed Circle=Perimeter/4*sqrt(2) GO

Rectangle circumscribed radius in terms of sine of the angle that adjacent to the diagonal and the opposite side of the angle

Radius Of Circumscribed Circle=Length/2*sin(sinϑ) GO

Square circumradius when the area of the square is given

Radius Of Circumscribed Circle=Area/sqrt(2) GO

Radius of the circumscribed circle when the diagonal of the rectangle is given

Radius Of Circumscribed Circle=Diagonal/2 GO

Circumradius of a regular polygon when the inradius is given Formula

Radius Of Circumscribed Circle=Inradius of Regular Polygon/cos(180/Number of sides)

More formulas

Perimeter of Regular Polygon GO

Inradius of a Regular Polygon GO

Area of regular polygon with perimeter and inradius GO

Interior angle of regular polygon GO

Number of Diagonals GO

Measure of exterior angle of regular polygon GO

Sum of the interior angles of regular polygon GO

Side of regular inscribed polygon GO

Area of regular polygon with perimeter and circumradius GO

Radius of regular polygon GO

Area of a regular polygon when inradius is given GO

Area of a regular polygon when circumradius is given GO

Area of a regular polygon when length of side is given GO

Interior angle of a regular polygon when sum of the interior angles are given GO

Apothem of a regular polygon GO

Apothem of a regular polygon when the circumradius is given GO

Perimeter of a regular polygon when inradius and area are given GO

Perimeter of a regular polygon when circumradius and area are given GO

Perimeter of a regular polygon when circumradius is given GO

Perimeter of a regular polygon when inradius is given GO

Side of a regular polygon when perimeter is given GO

Side of a regular polygon when area is given GO

How to define a regular polygon?

A regular polygon has sides of equal length and equal angles between each side. A regular n-sided polygon has rotational symmetry of order n and it is also known as a cyclic polygon. All the vertices of a regular polygon lie on the circumscribed circle.

How to Calculate Circumradius of a regular polygon when the inradius is given?

Circumradius of a regular polygon when the inradius is given calculator uses Radius Of Circumscribed Circle=Inradius of Regular Polygon/cos(180/Number of sides) to calculate the Radius Of Circumscribed Circle, Circumradius of a regular polygon when the inradius is given can be defined as the distance between the center of a regular polygon and the vertex provided the value of inradius for calculation. Radius Of Circumscribed Circle and is denoted by r symbol.

How to calculate Circumradius of a regular polygon when the inradius is given using this online calculator? To use this online calculator for Circumradius of a regular polygon when the inradius is given, enter Number of sides (n) and Inradius of Regular Polygon (ir) and hit the calculate button. Here is how the Circumradius of a regular polygon when the inradius is given calculation can be explained with given input values -> 1.693413 = 1.37/cos(180/5).

FAQ

What is Circumradius of a regular polygon when the inradius is given?

Circumradius of a regular polygon when the inradius is given can be defined as the distance between the center of a regular polygon and the vertex provided the value of inradius for calculation and is represented as r=ir/cos(180/n) or Radius Of Circumscribed Circle=Inradius of Regular Polygon/cos(180/Number of sides). The number of Sides is used to classify the polygons and Inradius of Regular Polygon is the distance between the center of a regular polygon and the midpoint of the side.

How to calculate Circumradius of a regular polygon when the inradius is given?

Circumradius of a regular polygon when the inradius is given can be defined as the distance between the center of a regular polygon and the vertex provided the value of inradius for calculation is calculated using Radius Of Circumscribed Circle=Inradius of Regular Polygon/cos(180/Number of sides). To calculate Circumradius of a regular polygon when the inradius is given, you need Number of sides (n) and Inradius of Regular Polygon (ir). With our tool, you need to enter the respective value for Number of sides and Inradius of Regular Polygon 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 Of Circumscribed Circle?

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

Radius Of Circumscribed Circle=(Side A*Side B*Side C)/(4*Area Of Triangle)
Radius Of Circumscribed Circle=sqrt((Length)^2+(Breadth)^2)/2
Radius Of Circumscribed Circle=sqrt((Perimeter)^2-4*Perimeter*Length+8*(Length)^2)/4
Radius Of Circumscribed Circle=sqrt((Perimeter)^2-4*Perimeter*Breadth-8*(Breadth)^2)/4
Radius Of Circumscribed Circle=Diagonal/2
Radius Of Circumscribed Circle=Diameter of Circumscribed Circle/2
Radius Of Circumscribed Circle=Length/2*sin(sinϑ)
Radius Of Circumscribed Circle=Breadth/2*cos(Theta)
Radius Of Circumscribed Circle=Side of square/sqrt(2)
Radius Of Circumscribed Circle=Perimeter/4*sqrt(2)
Radius Of Circumscribed Circle=Area/sqrt(2)

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