**Asked by:**Louie Upton

**Updated:**21 July 2021 09:32:00 PM

# What is the area of a regular polygon?

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon.

area = a² * √(25 + 10√5) / 4 , where a is a side of a regular pentagon. Also, you can find the area having the inscribed circle radius: area = 5 * r² * √[(5 + √5)/2] / 4 , where r is an incircle radius.

## Taking into account 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. The word "apothem" can also refer to the length of that line segment.## Considering that fact, what is the area of the regular Pentagon?

Area and perimeter of a regular pentagonarea = a² * √(25 + 10√5) / 4 , where a is a side of a regular pentagon. Also, you can find the area having the inscribed circle radius: area = 5 * r² * √[(5 + √5)/2] / 4 , where r is an incircle radius.

## Besides, what is area formula?

Given a rectangle with length l and width w, the formula for the area is: A = lw (rectangle). That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: A = s^{2}(square).## Do you have your own answer or clarification?

### Related questions and answers

#### What is the square of negative 4?

Squaring Negative Numbers

For example, to square -4 enter it into the calculator as (-4) with parentheses. To take the negative of 4 squared enter it as -(4) or -4.

For example, to square -4 enter it into the calculator as (-4) with parentheses. To take the negative of 4 squared enter it as -(4) or -4.

#### Is 0 real or imaginary?

Natural numbers including 0 are also called whole numbers. The number 0 is both real and imaginary.

#### What is the meaning of 1 square feet?

Hi Ravi, 1 square feet means the area of a square with sides 1 foot in length. Feet is a single dimensional unit, whereas square feet is a two-dimensional unit for area. Mathematically, 1 foot converts to 12 inches or 0.3048 meters. Similarly, 1 square feet is equivalent to 0.092903 square meters or 144 square inches.

#### What is a 15 sided shape called?

In geometry, a pentadecagon or pentakaidecagon or 15-gon is a fifteen-sided polygon.

#### Is 21 a real number?

The number 21 is a rational number. It is an integer, or whole number, and all integers are rational numbers.

#### What is the square of the 4?

The square of 4 is 4x4. To show that a number is squared, a small 2 is placed to the top right of the number. Like this: These signs are the same as saying "3 squared, 4 squared, and x squared."

#### Is imaginary number positive or negative?

The imaginary numbers, 0, and infinity, which lie between the hemispheres, are all “neutral”—that is, neither positive nor negative—but all other complex numbers are either positive or negative.

#### What is the square of 5?

Table of Squares and Square Roots

NUMBER | SQUARE | SQUARE ROOT |
---|---|---|

5 | 25 | 2.236 |

6 | 36 | 2.449 |

7 | 49 | 2.646 |

8 | 64 | 2.828 |

#### What is the square of any negative number?

"This is because to square a number just means to multiply it by itself. For example, (−2) squared is (−2)(−2)=4. Note that this is positive because when you multiply two negative numbers you get a positive result." - This, of course, is the exact opposite of what was asked, but it's the given response.

#### How do you calculate square?

If you are measuring a square or rectangle area, multiply length times width; Length x Width = Area.

#### Is 6 a real number?

These are the set of all counting numbers such as 1, 2, 3, 4, 5, 6, 7, 8, 9, ……. Real numbers are the numbers which include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

#### What is difference between area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

#### What does 2i mean?

2i is an imaginary number because it has the form 'bi' Remember, 'i' is the imaginary unit and is equal to the square root of -1. Even though 'i' is NOT a variable, we can multiply it as if it were. So i • i gives us i

^{2}.#### How do you find the area of a 7 sided polygon?

Determining the Area of the Heptagon

The formula for this is Area=(1/2)nsr. In this case, “n” is the number of sides, “s” is the length of the sides, and “r” is the apothem. Using the same example above, with the side as 7, the area formula would be worked as follows: Area=(1/2)(7)(7)(7.268).

The formula for this is Area=(1/2)nsr. In this case, “n” is the number of sides, “s” is the length of the sides, and “r” is the apothem. Using the same example above, with the side as 7, the area formula would be worked as follows: Area=(1/2)(7)(7)(7.268).

#### What does a square Metre look like?

The area equal to a square that is 1 meter on each side. Used for measuring areas of rooms, houses, blocks of land, etc. Example: A typical car parking space is about 12 square meters.

#### What is the formula of a regular polygon?

Again, the formula for a regular polygon is 1/2 times the apothem multiplied by the perimeter. The perimeter is just the length of one side multiplied the by the number of sides (n); for a regular polygon, n also represents the number of triangles that make up the figure.

#### What is the perimeter formula?

Perimeter, Area, and Volume

Table 1 . Perimeter Formulas | ||
---|---|---|

Shape | Formula | Variables |

Square | P=4s | s is the length of the side of the square. |

Rectangle | P=2L+2W | L and W are the lengths of the rectangle's sides (length and width). |

Triangle | a+b+c | a,b , and c are the side lengths. |

#### How do you find area?

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

#### Why is area squared?

Why is the area of a square a side square? A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is side square.

#### What is the square of 12?

"Is it possible to recreate this up to 12x12?"

0 Squared | = | 0 |
---|---|---|

9 Squared | = | 81 |

10 Squared | = | 100 |

11 Squared | = | 121 |

12 Squared | = | 144 |

#### Is 0 a real number?

What Are Real Numbers? Edit. Real numbers consist of zero (0), the positive and negative integers (-3, -1, 2, 4), and all the fractional and decimal values in between (0.4, 3.1415927, 1/2). Real numbers are divided into rational and irrational numbers.

#### What is 7i?

Definition of Complex Number

A Complex Number is a combination of a Real Number and an Imaginary Number. Example. 4 + 7i, where 4 is Real Number, and 7i is Imaginary Number.

A Complex Number is a combination of a Real Number and an Imaginary Number. Example. 4 + 7i, where 4 is Real Number, and 7i is Imaginary Number.