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The apothem ( a ) of a regular polygon can be found using the formula ( a = \frac{s}{2 \tan(\pi/n)} ), where ( s ) is the length of a side and ( n ) is the number of sides. Alternatively, it can also be calculated using the formula ( a = \frac{A}{P/2} ), where ( A ) is the area of the polygon and ( P ) is the perimeter. The apothem serves as the height of the isosceles triangles formed by connecting the center of the polygon to its vertices.

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What is the formula for finding the area of a regular polygon with apothem?

The formula for finding the area ( A ) of a regular polygon with an apothem ( a ) and the number of sides ( n ) is given by: [ A = \frac{1}{2} \times Perimeter \times Apothem = \frac{1}{2} \times (n \times s) \times a ] where ( s ) is the length of one side. Alternatively, it can also be expressed as: [ A = \frac{1}{2} \times P \times a ] where ( P ) is the perimeter of the polygon.


What is formula for finding area of hexagon?

Assuming that you are talking about a regular hexagon, the equation is (1/2)ap, a being the apothem and pbeing the perimeter. You can also use that equation for any other regular polygon.


What are the measures in a regular polygon?

The area of a regular polygon is given by the following formula: area =(1/2) (apothem)(perimeter).There are several other formulas that can be used. Regular Polygon Formulas are: N=number of sides, s= length, r = apothem (adiius of inscribed circle) R = radius of circumcircle. Using any of these formulas you can find the measurements of a regular polygon.


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

Perimeter = 2*Area/Apothem.


What would be the area or a regular polygon with a perimeter of 20 feet and an apoyhem of 3 feet?

The formula for finding the area (A) of a regular polygon when its perimeter (p) and apothem (a) are known is: A=(pa)/2 Therefore, when the figures are put into the formula it becomes: A=(20 x 3)/2 A=60/2 A=30 square feet

Related Questions

What is the formula for finding the area of a regular polygon with perimeter P and apothegm length a?

Area of regular polygon: 0.5*apothem*perimeter


What is the formula for finding the area of a regular polygon with perimeter P and apothem length a?

A = (1/2)Pa A being the area, P being the perimeter of the regular polygon, and the apothem length being a.


What is the formula for finding the area of a regular polygon with apothem?

The formula for finding the area ( A ) of a regular polygon with an apothem ( a ) and the number of sides ( n ) is given by: [ A = \frac{1}{2} \times Perimeter \times Apothem = \frac{1}{2} \times (n \times s) \times a ] where ( s ) is the length of one side. Alternatively, it can also be expressed as: [ A = \frac{1}{2} \times P \times a ] where ( P ) is the perimeter of the polygon.


What is an apothem of a regular polygon?

An apothem is a line segment from the center of a regular polygon to the midpoint of a side.


Is the radius of a regular polygon always greater than the apothem?

yes the radius of a regular polygon is always greater than the apothem


What is formula for finding area of hexagon?

Assuming that you are talking about a regular hexagon, the equation is (1/2)ap, a being the apothem and pbeing the perimeter. You can also use that equation for any other regular polygon.


The distance from the center of a regular polygon to a side of the polygon?

A Apothem


Segment from the center of a regular polygon perpendicular to a side?

That is called the apothem. The definition is: An Apothem is the distance from the center of a regular polygon to the midpoint of a side


What are the measures in a regular polygon?

The area of a regular polygon is given by the following formula: area =(1/2) (apothem)(perimeter).There are several other formulas that can be used. Regular Polygon Formulas are: N=number of sides, s= length, r = apothem (adiius of inscribed circle) R = radius of circumcircle. Using any of these formulas you can find the measurements of a regular polygon.


The perpendicular distance from the center of a regular polygon to a side of the polygon?

Apothem


What is the Perimeter of a regular polygon?

The formula used to find the area of any regular polygon is A = 1/2 a P where the lower case a stands for the length of the apothem and the uppercase P stands for the perimeter of the polygon.


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

Perimeter = 2*Area/Apothem.