11 Other formulas that you can solve using the same Inputs

Perimeter of rectangle when breadth and radius of circumscribed circle are given
Perimeter=2*(Breadth+sqrt(4*(Radius Of Circumscribed Circle)^2-(Breadth)^2)) GO
Interior angle of regular polygon
Interior angle of regular polygon=((Number of sides-2)*180)/Number of sides GO
The perimeter of the rectangle when the length and radius of the circumscribed circle are given
Perimeter=2*(Length+sqrt(4*(Radius Of Circumscribed Circle)^2-(Length)^2)) GO
Area of rectangle when breadth and radius of circumscribed circle are given
Area=Breadth*sqrt(4*(Radius Of Circumscribed Circle)^2-(Breadth)^2) GO
Area of rectangle when length and radius of circumscribed circle are given
Area=Length*sqrt(4*(Radius Of Circumscribed Circle)^2-(Length)^2) GO
Area of rectangle when radius of circumscribed circle and length are given
Area=Length*sqrt(4*(Radius Of Circumscribed Circle)^2-(Length)^2) GO
Inradius of a Regular Polygon
Inradius of Regular Polygon=(Side)/(2*tan(180/Number of sides)) GO
Perimeter of the square when circumradius is given
Perimeter=4*sqrt(2)*Radius Of Circumscribed Circle GO
Perimeter of Regular Polygon
Perimeter of Regular Polygon=Number of sides*Side GO
Diagonal of the rectangle when the radius of the circumscribed circle is given
Diagonal=2*Radius Of Circumscribed Circle GO
Diagonal of the square when circumradius is given
Diagonal=2*Radius Of Circumscribed Circle GO

4 Other formulas that calculate the same Output

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
Area of regular polygon with perimeter and circumradius
Area of regular polygon=(Perimeter of Regular Polygon*sqrt(Radius Of Circumscribed Circle^2-Side^2/4))/2 GO
Area of a regular polygon when length of side is given
Area of regular polygon=(Side^2*Number of sides)/(4*tan((pi*180)/(Number of sides*pi))) GO
Area of regular polygon with perimeter and inradius
Area of regular polygon=(Perimeter of Regular Polygon*Inradius of Regular Polygon)/2 GO

Area of a regular polygon when circumradius is given Formula

Area of regular polygon=(Radius Of Circumscribed Circle^2*Number of sides*sin((2*pi*180)/(Number of sides*pi)))/2
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 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
Circumradius of a regular polygon when the inradius 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 Area of a regular polygon when circumradius is given?

Area of a regular polygon when circumradius is given calculator uses Area of regular polygon=(Radius Of Circumscribed Circle^2*Number of sides*sin((2*pi*180)/(Number of sides*pi)))/2 to calculate the Area of regular polygon, Area of a regular polygon when circumradius is given can be defined as the number of square units required to fill the polygon provided the value of radius of the circumscribed circle for calculation. Area of regular polygon and is denoted by A symbol.

How to calculate Area of a regular polygon when circumradius is given using this online calculator? To use this online calculator for Area of a regular polygon when circumradius is given, enter Radius Of Circumscribed Circle (r) and Number of sides (n) and hit the calculate button. Here is how the Area of a regular polygon when circumradius is given calculation can be explained with given input values -> 59.44103 = (5^2*5*sin((2*pi*180)/(5*pi)))/2.

FAQ

What is Area of a regular polygon when circumradius is given?
Area of a regular polygon when circumradius is given can be defined as the number of square units required to fill the polygon provided the value of radius of the circumscribed circle for calculation and is represented as A=(r^2*n*sin((2*pi*180)/(n*pi)))/2 or Area of regular polygon=(Radius Of Circumscribed Circle^2*Number of sides*sin((2*pi*180)/(Number of sides*pi)))/2. The radius Of the Circumscribed Circle represents the radius of the circumscribed circle and The number of Sides is used to classify the polygons.
How to calculate Area of a regular polygon when circumradius is given?
Area of a regular polygon when circumradius is given can be defined as the number of square units required to fill the polygon provided the value of radius of the circumscribed circle for calculation is calculated using Area of regular polygon=(Radius Of Circumscribed Circle^2*Number of sides*sin((2*pi*180)/(Number of sides*pi)))/2. To calculate Area of a regular polygon when circumradius is given, you need Radius Of Circumscribed Circle (r) and Number of sides (n). With our tool, you need to enter the respective value for Radius Of Circumscribed Circle 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 Area of regular polygon?
In this formula, Area of regular polygon uses Radius Of Circumscribed Circle and Number of sides. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Area of regular polygon=(Perimeter of Regular Polygon*Inradius of Regular Polygon)/2
  • Area of regular polygon=(Perimeter of Regular Polygon*sqrt(Radius Of Circumscribed Circle^2-Side^2/4))/2
  • Area of regular polygon=(Inradius of Regular Polygon^2*Number of sides*tan((pi*180)/(Number of sides*pi)))
  • Area of regular polygon=(Side^2*Number of sides)/(4*tan((pi*180)/(Number of sides*pi)))
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