How do you calculate an apothem?
To calculate the apothem of a hexagon, start by dividing the hexagon into 6 triangles. Then, divide one of the triangles in half to create 2 right triangles. Next, plug the length of one of the right triangle's base and hypotenuse into the Pythagorean Theorem. Finally, solve for a to get the apothem of the hexagon.
What is an apothem and how do you find it?
The apothem is also the radius of the incircle of the polygon. For a polygon of n sides, there are n possible apothems, all the same length of course. The word apothem can refer to the line itself, or the length of that line. So you can correctly say 'draw the apothem' and 'the apothem is 4cm'.
What is the 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.
How do I find the apothem of a pentagon?
If the side-length and apothem is given of a pentagon, then; Area of Pentagon = 5/2 x s x a; where 's' is the side of the pentagon, and 'a' is the apothem length. Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
How do you find the apothem with the radius?
0:272:46Find the Area of Regular Polygon Given Radius – YouTubeYouTube
How do you find the apothem of a hexagon when given the side?
Here's how you do it:
- If you know the perimeter, then just divide it by 6 to get the length of one side. …
- If you only know the apothem, you can find the length of a side by plugging the apothem into the formula a = x√3 and then multiplying the answer by two.
How do you find the apothem of a hexagon with a radius?
It is simply equal to R = a . Inradius: the radius of a circle inscribed in the regular hexagon is equal to half of its height, which is also the apothem: r = √3/2 * a .
Is the apothem half of the side length?
Since the centre of a square divides its side into two equal halves, we know that the distance of the apothem will be half of the length of one side.
How do you find the apothem and radius?
The length of the apothem is a=s2tan(π/n), while the length of the radius is r=s2sin(π/n).
What is apothem of a hexagon?
Just as a reminder, the apothem is the distance between the midpoint of any side and the center. You can view it as the height of the equilateral triangle formed by taking one side and two radii of the hexagon (each of the colored areas in the image above).
Is the apothem the radius?
The apothem of a regular polygon is the line segment drawn from the center of the polygon perpendicular to one of its edges. It is also the radius of the inscribed circle of the polygon.
How do you find the apothem given the radius?
0:272:46Find the Area of Regular Polygon Given Radius – YouTubeYouTube
How do you find the area of a hexagon without apothem?
How do you find the area of a hexagon?
- In a regular hexagon, split the figure into triangles.
- Find the area of one triangle.
- Multiply this value by six.
Where is the apothem in a hexagon?
The apothem of a hexagon is the length of the line that joins the center of the hexagon with the center of one side. The apothem is the perpendicular line that connects the center of the hexagon with one side.
How do you find the apothem from the radius?
7:5914:28Find the Area of a Regular Polygon Given Apothem, Side, Perimeter, or …YouTube
What is an apothem in a hexagon?
The apothem of a hexagon is the length of the line that joins the center of the hexagon with the center of one side. The apothem is the perpendicular line that connects the center of the hexagon with one side.
How do I find the apothem from the radius?
The length of the apothem is a=s2tan(π/n), while the length of the radius is r=s2sin(π/n).
How do you find the apothem with only the radius?
0:033:07Center and Apothem of Regular Polygons – YouTubeYouTube
How do you find the area of apothem and radius?
7:5014:28Find the Area of a Regular Polygon Given Apothem, Side, Perimeter, or …YouTube
How do you find the apothem of a hexagon with its sides?
1:5011:57Finding the Apothem – YouTubeYouTube
Is the apothem half the side length?
Since the centre of a square divides its side into two equal halves, we know that the distance of the apothem will be half of the length of one side.
How do you find the apothem of a hexagon given the radius?
It is simply equal to R = a . Inradius: the radius of a circle inscribed in the regular hexagon is equal to half of its height, which is also the apothem: r = √3/2 * a .