How do you find the apothem of a polygon when given the area?

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 find the apothem of an inscribed hexagon?

To do this, use a calculator or a trigonometry table. Multiply the tangent by 2, then divide the side length by this number. This will give you the length of the apothem of your hexagon.

How do you find the apothem given the area and number of sides?

Divide the area of the polygon by the number of sides the polygon has. For example, if the area of a square is 36, you would divide 36 by 4 and get 9. Divide pi by the number of sides in the polygon. In this example, you would divide pi, about 3.14, by 4, the number of sides in a square, to get 0.785.

What is apothem in 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.

What is apothem in Pentagon?

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

Is the apothem the radius?

An apothem of a regular polygon will always be a radius of the inscribed circle. It is also the minimum distance between any side of the polygon and its center.

Is apothem same as radius?

Is the apothem half of the height?

An effective teacher with a sense of humor! For an equilateral triangle, the apothem is 1/3 of the height, so the height is 3 times 2 ft or 6 ft.

Where is the apothem of a polygon located?

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.

How to calculate the area of An apothem?

The apothem a can be used to find the area of any regular n-sided polygon of side length s according to the following formula, which also states that the area is equal to the apothem multiplied by half the perimeter since ns = p . A = n s a 2 = p a 2 . {\\displaystyle A= {\\frac {nsa} {2}}= {\\frac {pa} {2}}.}

Which is the apothem of a hexagon graph?

Apothem of a hexagon. Graphs of side, s ; apothem, a and area, A of regular polygons of n sides and circumradius 1, with the base, b of a rectangle with the same area – the green line shows the case n = 6. 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.

What is the apothem of a regular pyramid?

For a regular pyramid, which is a pyramid whose base is a regular polygon, the apothem is the slant height of a lateral face; that is, the shortest distance from apex to base on a given face. For a truncated regular pyramid (a regular pyramid with some of its peak removed by a plane parallel to the base), the apothem is the height