Area of Regular Polygon Calculator

Area of a Regular Polygon Calculator: Do you feel it is very tough to compute the area of a regular polygon? Then you have reached the correct place. The simple and easy method to find the area of a regular polygon is provided in the following sections. Students must learn these type of geometrical shapes when they are promoting to the higher classes. With the help of this online tool, you can make the calculations at a faster pace.


Choose

Number of Sides(n)

Regular Polygon Side



Here are some samples of Area of a Regular Polygon calculations

  • Area of a Regular Polygon 2 ft with 6 Sides
  • Area of a Regular Polygon 7 cm with 8 Sides
  • Area of a Regular Polygon 6 ft with 4 Sides
  • Area of a Regular Polygon 6 cm with 8 Sides
  • Area of a Regular Polygon 3 ft with 4 Sides
  • Area of a Regular Polygon 3 ft with 5 Sides
  • Area of a Regular Polygon 3 ft with 7 Sides
  • Area of a Regular Polygon 67 m with 9 Sides
  • Area of a Regular Polygon 62 m with 6 Sides
  • Area of a Regular Polygon 28 m with 5 Sides
  • Area of a Regular Polygon 9 m with 12 Sides
  • Area of a Regular Polygon 78 ft with 4 Sides
  • Area of a Regular Polygon 85 ft with 8 Sides
  • Area of a Regular Polygon 91 m with 11 Sides
  • Area of a Regular Polygon 33 cm with 8 Sides
  • Area of a Regular Polygon 14 m with 3 Sides
  • Area of a Regular Polygon 16 m with 11 Sides
  • Area of a Regular Polygon 69 m with 10 Sides
  • Area of a Regular Polygon 87 m with 7 Sides
  • Area of a Regular Polygon 10 cm with 9 Sides
  • Area of a Regular Polygon 26 cm with 10 Sides
  • Area of a Regular Polygon 40 cm with 6 Sides
  • Area of a Regular Polygon 9 ft with 3 Sides
  • Area of a Regular Polygon 30 ft with 11 Sides
  • Area of a Regular Polygon 10 ft with 5 Sides
  • Area of a Regular Polygon 21 ft with 5 Sides
  • Area of a Regular Polygon 91 m with 11 Sides
  • Area of a Regular Polygon 48 cm with 5 Sides
  • Area of a Regular Polygon 6 m with 10 Sides
  • Area of a Regular Polygon 11 m with 7 Sides
  • Area of a Regular Polygon 68 m with 5 Sides
  • Area of a Regular Polygon 47 cm with 12 Sides
  • Area of a Regular Polygon 47 cm with 7 Sides
  • Area of a Regular Polygon 42 cm with 10 Sides
  • Area of a Regular Polygon 8 m with 12 Sides
  • Area of a Regular Polygon 8 m with 6 Sides
  • Area of a Regular Polygon 52 m with 9 Sides
  • Area of a Regular Polygon 70 cm with 6 Sides

  • Provide the required input data like number of sides, regular polygon side, choose any one unit from the units section and press on the calculate button to find the area of a regular polygon in a blink of eye. This calculator not only provides the exact answer, it will also give the lengthy explanation. Check out the formula, definition and steps to calculate the regular polygon area in the below segments of this page.

    Formula to Compute Regular Polygon Area

    Polygon is a two dimensional plane with straight lines. The formula to find the area of a regular polygon is mentioned here

    Area of a regular polygon a = n * s² * cot(π/n) / 4

    Area = n * s * apothem / 2

    Regular polygon area = p * apothem / 2

    Where,

    n is the number of sides of a polygon.

    s is the length of side of a regular polygon.

    p is the perimeter of a regular polygon.

    apothem is apothem of a polygon.

    Simple Procedure to Find Regular Polygon Area

    Never think that calculating the area of a regular polygon is very difficult. The simple steps offered below will help you in solving the polygon area questions. Follow these instructions and solve the problems carefully.

    • Make a note of the two important parameters i.e length of side of a regular polygon, number of sides of a polygon.
    • Compute the square of side length and multiply the result by polygon number of sides.
    • Divide the obtained value by 4.
    • Get cot(π/polygon sides number).
    • Multiply it with the output obtained in 4th step to know the area.

    Examples of Regular Polygon Area

    Example 1: Calculate the area of 5 sided polygon with a side length 7 cm?

    Solution:

    Given that,

    Number of sides of a polygon n = 5

    The length of side of polygon s = 7 cm

    Area of regular polygon a = n * s² * cot(π/n) / 4

    By substituting the given values,

    area = 5 * 7² * cot(π/5) / 4

    = 5 * 7 * 7 * cot(π/5) / 4

    = 245 * cot(π/5) / 4

    = 245 * 91.2317 / 4

    = 22351.76 / 4

    = 5587.94

    ∴ Area of a 5 sided polygon with side length 7 cm is 5587.94 cm².

    Example 2: Find area of a 12 sided polygon? The perimeter of regular polygon is 60 cm?

    Solution:

    Given that,

    Number of sides of a polygon n = 12

    Perimeter of the regular polygon = 60 cm

    Perimeter of 12 sided regular polygon formula is perimeter = 12 * side

    60 = 12 * side

    60 / 12 = side

    side = 5

    Area of regular polygon a = n * s² * cot(π/n) / 4

    area = 12 * 5² * cot(π/5) / 4

    = 12 * 5² * 91.231 / 4

    = 12 * 5 * 5 * 91.231 / 4

    = 27,369.3 / 4

    = 6,842.32

    ∴ Area of a 12 sided polygon is 6,842.32 cm².

    You can get the information regarding geometry concepts on our site Areavolumecalculator.com

    FAQs on Regular Polygon Area Calculator

    1. What is meant by regular polygon?

    Regular polygon means a closed two dimensional plane having straight lines of equal length and all the interior angles are of equal size. The number of sides in the geometrical figure can be any real number. All the vertices of a regular polygon lie on a common circle.

    2. Find the area of of 9 sided regular polygon? Apothem and side length of polygon is 7 inches and 5 inches.

    Apothem = 7 inches, side length = 5 inches

    number of sides = 9

    Perimeter of polygon = 9 * 5 = 45 inches

    Area of polygon = 1/2 (apothem) * (perimeter)

    = 1/2 (7) * (45)

    = 315 / 2

    Area = 157.5 inches².

    3. How do you find the area of a regular polygon using calculator?

    Students must have to provide the number of sides of polygon and side length in the allotted input sections and hit on the calculate button to display the output easily.

    4. How do you find the regular polygon area with only the side length?

    The formula to check the regular polygon area by using the length of side is as follows:

    Area = n * s² * cot(π/n) / 4 or (n * s²) / (4 * tan(π/n))

    Where n is the number of sides, s is the side length.


    Area of A Regular Polygon Calculator