How do you find the area of a regular hexagon with an apothem?

Calculating from a Regular Hexagon with a Given Apothem. Write down the formula for finding the area of a hexagon with a given apothem. The formula is simply Area = 1/2 x perimeter x apothem.

How do you find the apothem of a regular 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. to find the length of the apothem.

How do you calculate the area of the apothem?

You also learned the formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.

How do you find area of a hexagon?

The formula for the area of a hexagon is given as A = (3√3 S2)/2 S is the length of the side of the hexagon. The formula of the area of a hexagon can also be given in terms of apothem as A = (1/2)aP where a is the length of an apothem and P is the perimeter of the hexagon.

What is a 10 sided shape?

decagon
Answer (1 of 25): A ten sided object (polyhedron) is known as a decahedron (three dimensional) while a ten sided two dimensional figure (polygon) is known as a decagon.

What is apothem length?

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.

Is the apothem equal to the side length?

Is the Apothem Equal to the Side Length? No, an apothem’s length is not always equal to its side length. However, if we know the side length of a polygon, the apothem can be calculated.

Is the apothem equal to the side?

2. Is the Apothem Equal to the Side Length? No, an apothem’s length is not always equal to its side length. However, if we know the side length of a polygon, the apothem can be calculated.

What is the apothem of a hexagon?

Hexagon area formula: how to find the area of a hexagon Just as a reminder, the apothem is the distance between the midpoint of any of the sides and the center. It can be viewed as the height of the equilateral triangle formed taking one side and two radii of the hexagon (each of the colored areas in the image above).

How do you calculate the area of a hexagon?

The formula for finding the area of a hexagon is Area = (3√3 s 2)/ 2 where s is the length of a side of the regular hexagon. 2. Identify the length of one side. If you already know the length of a side, then you can simply write it down; in this case, the length of a side is 9 cm.

How do you calculate the area of a regular polygon?

Know the correct formula. 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. Plug the values of a and p in the formula and get the area.

What is an apothem of a 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.