Table of Contents
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?
Inradius: the radius of a circle inscribed in the regular hexagon is equal to a half of its height, which is also the apothem: r = √3/2 * a .
How do you find the apothem?
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.
What is an apothem in hexagon?
A hexagon is a six-sided polygon. When a hexagon is regular it has six equal side lengths and an apothem. An apothem is a line segment from the center of a polygon to the middle point of any one side. You usually need to know the length of the apothem when calculating the area of a hexagon.
Is the apothem equal to the side?
The apothem is always perpendicular to the side on which it ends. A regular polygon has all its sides and angles equal.
Are all sides of hexagon equal?
Hexagons are six sided figures and possess the following shape: In a regular hexagon, all sides equal the same length and all interior angles have the same measure; therefore, we can write the following expression.
How do you find the sides of a hexagon?
Calculating Side Length Divide your value by the square root of 3 if your given value is the length of the line that completes the left-most or the right-most isosceles triangle in the hexagon. The quotient is the length of the hexagon side.
Is the apothem equal to the side length?
What is the difference between a radius and an apothem?
The apothem of a regular polygon is a segment connecting the center of the polygon to a midpoint of one of the sides, and the radius of a regular polygon is a segment connecting the center of the polygon to one of the vertices.
Which are true of the regular hexagon?
‘ A regular hexagon has six sides that are all congruent, or equal in measurement. A regular hexagon is convex, meaning that the points of the hexagon all point outward. All of the angles of a regular hexagon are congruent and measure 120 degrees.
Is apothem same as radius?
What is the apothem of a regular pentagon?
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.