At is the perimeter of the polygon?

Asked by: Jake Butler  |  Last update: 29 June 2021
Score: 4.4/5 (59 votes)

For a regular polygon, the perimeter is equal to the product of one side length and the number of sides of the polygon. For example, the perimeter of a regular pentagon whose side length 8 cm, is given by; Perimeter of a regular pentagon = 8 x 5 = 40 cm.

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Hereof, What is the formula for the perimeter of a polygon?

If you're trying to find the perimeter of a regular polygon, just use the formula: perimeter = number of sides x the length of any side.

Then, How do you find the perimeter of a polygon given the area?.
Regular Polygon:
  1. A polygon that has all its sides equal with equal angles. The sum of the angles of a polygon with n sides, where n is 3 or more, is 180° × (n - 2) degrees. ...
  2. Since the area is given we now have: ...
  3. Divide each side by 3. ...
  4. We know that the perimeter of the regular polygon is given by: P = ns.


Secondly, What is the perimeter of a 4 sided polygon?

The formula is a + b + c+ d = perimeter. For example, suppose that a quadrilateral has sides with lengths of 1, 5, 3 and 4 inches. The perimeter equals 1 + 5 + 3 + 4 or 13 inches.

What is the formula for a polygon area?

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.

31 related questions found

What is the Apothem of a regular polygon?

The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.

How do you find a perimeter?

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.

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

For a regular polygon, the perimeter is equal to the product of one side length and the number of sides of the polygon. For example, the perimeter of a regular pentagon whose side length 8 cm, is given by; Perimeter of a regular pentagon = 8 x 5 = 40 cm.

Is around the perimeter?

Perimeter is the distance around a two dimensional shape, a measurement of the distance around something; the length of the boundary.

What is the perimeter of an N sided polygon?

The perimeter of a regular polygon with n n n sides that is circumscribed about a circle of radius r r r is 2 n r tan ⁡ ( π n ) .

How do you find the perimeter and area of a regular polygon?

As an example, let's use a hexagon (6 sides) with a side (s) length of 10.
  1. The perimeter is 6 x 10 (n x s), equal to 60 (so p = 60).
  2. The apothem is calculated by its own formula, by plugging in 6 and 10 for n and s. ...
  3. The area of the polygon is Area = a x p / 2, or 8.66 multiplied by 60 divided by 2.

How do you find the Apothem of a polygon?

We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.

How many sides does a regular polygon have?

Every interior and exterior angle in the regular polygon is equal to every other interior and exterior angle, and every side is equal in length to every other side. A regular polygon has: Two dimensions. Straight sides.

What is perimeter in math definition?

CCSS.Math: 3.MD.D.8. Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

What does perimeter mean?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape. Learn how to calculate perimeter and area for various shapes.