Sakshi Priya
Indian Institute of Technology (IIT), Roorkee
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6 Other formulas that you can solve using the same Inputs

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
Perimeter of a regular polygon when inradius is given
Perimeter of Regular Polygon=2*Number of sides*Inradius of Regular Polygon*tan(180/Number of sides) GO
Perimeter of a regular polygon when inradius and area are given
Perimeter of Regular Polygon=(2*Area of regular polygon)/Inradius of Regular Polygon GO
Circumradius of a regular polygon when the inradius is given
Radius Of Circumscribed Circle=Inradius of Regular Polygon/cos(180/Number of sides) GO
Side of a regular polygon when perimeter is given
Side=Perimeter of Regular Polygon/Number of sides GO

4 Other formulas that calculate the same Output

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
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 Formula

Area of regular polygon=(Perimeter of Regular Polygon*Inradius of Regular Polygon)/2
More formulas
Slope Of Line GO
Minimum Distance Between Parallel Lines in 2D GO
Arc Length GO
Centroid of a Trapezoid GO
Circumference of Circle GO
Diameter of a circle when circumference is given GO
Radius of a circle when circumference is given GO
Radius of a circle when area is given GO
Diameter of a circle when area is given GO
Radius of a circle when diameter is given GO
Diameter of a circle when radius is given GO
Inscribed angle when radius and length for minor arc are given GO
Inscribed angle when radius and length for major arc are given GO
Central angle when radius and length for major arc are given GO
Central angle when radius and length for minor arc are given GO
Side of a Kite when other side and area are given GO
Side of a Kite when other side and perimeter are given GO
Side of a Rhombus when Diagonals are given GO
Slant Height of cone GO
Slant Height of Frustum GO
Measure of exterior angle of regular polygon GO
Sum of the interior angles of regular polygon GO
Area of regular polygon with perimeter and circumradius GO
Side of Rhombus when area and height are given GO
Side of Rhombus when area and angle are given GO
Side of a rhombus when area and inradius are given GO
Side of a Rhombus when diagonals are given GO
Side of a rhombus when perimeter is given GO
Side of a rhombus when diagonal and angle are given GO
Side of a rhombus when diagonal and half-angle are given GO
Diagonal of a rhombus when side and angle are given GO
Longer diagonal of a rhombus when side and half-angle are given GO
Diagonal of a rhombus when side and other diagonal are given GO
Diagonal of a rhombus when area and other diagonal are given GO
Diagonal of a rhombus when inradius and half-angle are given GO
Smaller diagonal of a rhombus when side and half-angle are given GO
Area of a rhombus when side and height are given GO
Area of a rhombus when side and angle are given GO
Area of a rhombus when side and inradius are given GO
Area of a rhombus when inradius and angle are given GO
Diagonal of a rhombus when other diagonal and half-angle are given GO
Area of a rhombus when one diagonal and half-angle is given GO
Inradius of a rhombus when height is given GO
Inradius of a rhombus when area and side length is given GO
Inradius of a rhombus when area and angle is given GO
Inradius of a rhombus when side and angle is given GO
Inradius of a rhombus when one diagonal and half-angle is given GO
Inradius of a rhombus when diagonals are given GO
Inradius of a rhombus when diagonals and side are given GO
Length of a chord when radius and central angle are given GO
Length of a chord when radius and inscribed angle are given GO
Value of inscribed angle when central angle is given GO
Length of arc when central angle and radius are given GO
Area of sector when radius and central angle are given GO
Area of an ellipse GO
Inradius of an ellipse GO
Exradius of an ellipse GO
Focal parameter of an ellipse GO
Flattening of an ellipse GO
Circumference of an ellipse GO
Midline of a trapezoid when the length of bases are given GO
Perimeter of a trapezoid GO
Diagonal 1 of a trapezoid GO
Diagonal 2 of a trapezoid GO
Area of a trapezoid when midline is given GO
Radius of the circle circumscribed about an isosceles trapezoid GO
Diagonal of an isosceles trapezoid GO
Height of an isosceles trapezoid GO
Radius of the inscribed circle in trapezoid GO
Sum of parallel sides of a trapezoid when area and height are given GO
Height of a trapezoid when area and sum of parallel sides are given GO
Third angle of a triangle when two angles are given GO
Lateral Surface area of a Triangular Prism GO
Height of a triangular prism when base and volume are given GO
Height of a triangular prism when lateral surface area is given GO
Volume of a triangular prism when side lengths are given GO
Volume of a triangular prism when two side lengths and an angle are given GO
Volume of a triangular prism when two angles and a side between them are given GO
Top surface area of a triangular prism GO
Volume of a triangular prism when base area and height are given GO
Bottom surface area of a triangular prism when volume and height are given GO
Bottom surface area of a triangular prism GO
Top surface area of a triangular prism when volume and height are given GO
Volume of a right square pyramid GO
Surface area of a right square pyramid GO
Lateral surface area of a right square pyramid GO
Base area of a Right square pyramid GO
Slant height of a Right square pyramid GO
Lateral edge length of a Right Square pyramid GO
Height of an Equilateral square pyramid GO
Surface area of an Equilateral square pyramid GO
Volume of an Equilateral square pyramid GO
Height of a right square pyramid when volume and side length are given GO
Side length of a Right square pyramid when volume and height are given GO
Height of a right square pyramid when slant height and side length are given GO
Side length of a Right square pyramid when slant height and height are given GO
Lateral surface area of a Right square pyramid when side length and slant height are given GO
Surface area of a Right square pyramid when side length and slant height are given GO
Volume of a right square pyramid when side length and slant height are given GO
Lateral edge length of a Right square pyramid when side length and slant height are given GO
Slant height of a Right square pyramid when volume and side length are given GO
Lateral edge length of a Right square pyramid when volume and side length is given GO

Is this formula true for circle?

This relationship between the perimeter and inradius is also valid for the circle. As the perimeter of circle = 2* pi *r and area = 1/2 *(2* pi * r)*r

How to Calculate Area of regular polygon with perimeter and inradius?

Area of regular polygon with perimeter and inradius calculator uses Area of regular polygon=(Perimeter of Regular Polygon*Inradius of Regular Polygon)/2 to calculate the Area of regular polygon, Area of Regular polygon with perimeter and inradius is defined as the number of square units needed to fill the polygon and calculated by half the product of perimeter of regular polygon and inradius also known as apothem. Area of regular polygon and is denoted by A symbol.

How to calculate Area of regular polygon with perimeter and inradius using this online calculator? To use this online calculator for Area of regular polygon with perimeter and inradius, enter Perimeter of Regular Polygon (P) and Inradius of Regular Polygon (ir) and hit the calculate button. Here is how the Area of regular polygon with perimeter and inradius calculation can be explained with given input values -> 6.85 = (10*1.37)/2.

FAQ

What is Area of regular polygon with perimeter and inradius?
Area of Regular polygon with perimeter and inradius is defined as the number of square units needed to fill the polygon and calculated by half the product of perimeter of regular polygon and inradius also known as apothem and is represented as A=(P*ir)/2 or Area of regular polygon=(Perimeter of Regular Polygon*Inradius of Regular Polygon)/2. Perimeter of Regular Polygon can be calculated by adding the length of all sides and Inradius of Regular Polygon is the distance between the center of a regular polygon and the midpoint of the side.
How to calculate Area of regular polygon with perimeter and inradius?
Area of Regular polygon with perimeter and inradius is defined as the number of square units needed to fill the polygon and calculated by half the product of perimeter of regular polygon and inradius also known as apothem is calculated using Area of regular polygon=(Perimeter of Regular Polygon*Inradius of Regular Polygon)/2. To calculate Area of regular polygon with perimeter and inradius, you need Perimeter of Regular Polygon (P) and Inradius of Regular Polygon (ir). With our tool, you need to enter the respective value for Perimeter of Regular Polygon 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 Area of regular polygon?
In this formula, Area of regular polygon uses Perimeter of Regular Polygon and Inradius of Regular Polygon. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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=(Radius Of Circumscribed Circle^2*Number of sides*sin((2*pi*180)/(Number of sides*pi)))/2
  • Area of regular polygon=(Side^2*Number of sides)/(4*tan((pi*180)/(Number of sides*pi)))
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