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how do you find the square footage of a polygon

by London Hamill Published 2 years ago Updated 2 years ago
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Calculate the Area as Square Footage

  • If you are measuring a square or rectangle area, multiply length times width; Length x Width = Area.
  • For other area shapes, see formulas below to calculate Area (ft 2) = Square Footage.

The apothem refers to the distance from the centre of the polygon to one of the points or corners of the shape. You can multiply the number of sides, the length of one side, and the apothem. Then you can divide the resulting number by two to calculate the square footage of the shape.Apr 25, 2022

Full Answer

How do you calculate a polygon?

polygons formula area * n * ri / 2) If ri crosses the center to the midpoint of one of the sides, the area equals perimeter * ri / 2, having the apothem in circle radius. Divide

  • ri]2
  • tan (in u/n
  • ). How Do You Calculate Square Footage Of An Irregular Shape? Measure all the dimensions or sides of the area.

How do you calculate the area of a regular polygon?

  • If the length of one side is given, it possible to find the area of the regular polygon by finding apothem.
  • Apothem falls on the midpoint of a side at the right angle dividing it into two equal parts.
  • An Equilateral triangle is a regular polygon with 3 sides, while a square is a regular polygon with 4 sides. ...

How do you find the area of a polygon?

The procedure to use the area of regular polygon calculator is as follows:

  1. Enter the number of sides and side length in the input field (Example: n=5, S= 3)
  2. Now click the button “Solve” to get the regular polygon area
  3. Finally, the area of the regular polygon will be displayed in the output field (I.e., Area of Regular Polygon, A= 15.485 square units)

How to find the area of irregular shapes?

We can find the area of irregular shapes using the unit square method with the following steps:

  1. Divide the given irregular shape into small squares of the unit square area.
  2. The total number of unit squares falling within the shape determines the total area.
  3. While calculating the area for a more accurate estimate count the square as “1” if the shaded region covers more than half of each square.

How to find the area of a polygon?

How to find the area of a square?

How to make an array of coordinates?

How to add the sum of the vertex products?

How to find the perimeter of a hexagon?

What is the area of a trapezoid?

How many square centimeters are there in a 7 cm radius?

See 4 more

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How do you calculate the square footage of a shape?

To calculate the square footage of an irregular shape, divide the irregular shape into smaller shapes, find the area of each, and then add up all the results.

What is the formula for a polygon?

Polygon Formula The important polygon formulas are: The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n.

How do I calculate the square footage of a pentagon?

Area of pentagon = [(5/2) × s × a] square units. Where “s” is the side length, and “a” is the apothem length. Area of regular pentagon = 1.72 (Side)2 square units.

How do you find the area of a 5 sided polygon?

1:282:18Pentagon Shape . | 5 Sided Polygon | - YouTubeYouTubeStart of suggested clipEnd of suggested clipThen you can find this linked by using side divided by two times tangent x in parenthesis 180MoreThen you can find this linked by using side divided by two times tangent x in parenthesis 180 divided by the number of sides.

How do you find the area of a 4 sided polygon?

If the diagonal and the length of the perpendiculars from the vertices are given, then the area of the quadrilateral is calculated as: Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

How do you find the area of a polygon with n sides?

What is the formula for the area of a regular polygon of n-sides? The formula for the area of a regular polygon of n-sides is [l2n]/[4tan(180/n)] Square units, where l is the side length of the polygon and n is the number of sides.

How do you calculate square feet with 5 sides?

How to Calculate the Square Feet of Odd ShapesMeasure all the dimensions or sides of the area.Divide the drawing into shapes. Squares and rectangles are easiest, followed by triangles and then circles.Figure the area of each shape. ... Add the areas of all the individual shapes to find the total square footage.

How do you find the perimeter of a 5 sided shape?

If all the sides of a pentagon are of equal length, it is known as a regular pentagon. In this case, the perimeter of the pentagon can be calculated with the help of the formula, Perimeter = 5 × side length. For example, if one side of a regular pentagon is 8 units, its perimeter will be, P = 5 × 8 = 40 units.

Is a pentagon a polygon?

The pentagon is one of the types of polygons. The sum of all the interior angles for a regular pentagon is 540 degrees.

What is the formula for area of regular polygon?

The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.

How do you calculate the area of an irregular shape calculator?

How to use irregular area calculator?Step 1: Measure all sides of the area in one unit (Feet, Meter, Inches or any other).Step 2: Enter length of horizontal sides into Length 1 and Length 2. And Width of the vertical sides into Width 1 and Width 2. ... Step 3: Press calculate button. ... Our Formula: Area = b × h.

How do you find the area of a 8 sided polygon?

If the shape is a polygon and it has eight sides, we call it an octagon. To find the area of an octagon we use the following formula. Area of octagon formula = 2 × s2 × (1+√2). Where "s" denotes the length of the side of an octagon.

What is the formula for Area of a regular polygon?

The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.

What is the formula for the perimeter of a polygon?

Perimeter of a regular polygon = number of sides × length of a side. Perimeter of the given regular pentagon = 5 × 6 cm = 30 cm.

What is the polygon rule?

The sides must be straight. Polygons may have any number of sides. A polygon. A shape with curved sides is not a polygon. A shape that is not fully closed is not a polygon.

What is the formula for an irregular polygon?

The measure of an interior angle of an irregular polygon is calculated with the help of the formula: 180° × (n-2)/n, where 'n' is the number of sides of a polygon.

Area of Regular Polygon Calculator - Online Free Calculator - BYJUS

Learn how to use the area of regular polygon calculator with a step-by-step procedure. Get the area of regular polygon calculator available online for free only at BYJU'S.

How to find the area of a polygon?

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

How to find the area of a square?

Find the area of a square. To find the area of a square, just square the length of one side. This is really the same thing as multiplying the base of the square by its height, because the base and height are the same. If the square has a side length of 6, then the area is 6 x 6, or 36.

How to make an array of coordinates?

Create an array. List the x and y coordinates of each vertex of the polygon in counterclockwise order. Repeat the coordinates of the first point at the bottom of the list.

How to add the sum of the vertex products?

Multiply the x coordinate of each vertex by the y coordinate of the next vertex. Add the results. The added sum of these products is 82.

How to find the perimeter of a hexagon?

You know that x = half the length of the bottom side of the triangle. Double it to get the full length. The bottom side of the triangle is 20 units long. There are six of these sides to the hexagon, so multiply 20 x 6 to get 120, the perimeter of the hexagon.

What is the area of a trapezoid?

The area is simple [ (6 + 8) x 10]/2, which can be simplified to (14 x 10)/2, or 140/2, which makes for an area of 70.

How many square centimeters are there in a 7 cm radius?

Part 3 above has nothing to do with circles. Any circle with a 7 cm radius has an area of 49π or 153.937 square centimeters.

How to find the area of a polygon?

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

How to find the area of a square?

Find the area of a square. To find the area of a square, just square the length of one side. This is really the same thing as multiplying the base of the square by its height, because the base and height are the same. If the square has a side length of 6, then the area is 6 x 6, or 36.

How to make an array of coordinates?

Create an array. List the x and y coordinates of each vertex of the polygon in counterclockwise order. Repeat the coordinates of the first point at the bottom of the list.

How to add the sum of the vertex products?

Multiply the x coordinate of each vertex by the y coordinate of the next vertex. Add the results. The added sum of these products is 82.

How to find the perimeter of a hexagon?

You know that x = half the length of the bottom side of the triangle. Double it to get the full length. The bottom side of the triangle is 20 units long. There are six of these sides to the hexagon, so multiply 20 x 6 to get 120, the perimeter of the hexagon.

What is the area of a trapezoid?

The area is simple [ (6 + 8) x 10]/2, which can be simplified to (14 x 10)/2, or 140/2, which makes for an area of 70.

How many square centimeters are there in a 7 cm radius?

Part 3 above has nothing to do with circles. Any circle with a 7 cm radius has an area of 49π or 153.937 square centimeters.

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