How to Find the Apothem of an Octagon

We can write it as. Area p a 2.

Find Area Of Regular Polygon Given Apothem Youtube

Find the area of the regular octagon if the apothem is 42 and a side is 34 in.

. Answer frac12 times55 sqrt2 times 80200200 sqrt2 View Answer. If you want to know how to find the area of a regular octagon by hand the easiest procedure is to apply the standard formula for the area of a regular polygon. A s 2tan180 n to get a 124 2tan180 8.

Half a side is 6 units. Area of the octagon is calculated by summing up the areas of the 8 triangles or 8 x Area of one triangle OAB. Next determine the length of any side.

A a rcos180 n r. Using Trigonometry Given Side Length or Radius 1. Joined Aug 24 2005 Messages 1.

Apothem given the radius circumradius If you know the radius distance from the center to a vertex. Using the apothem we can calculate the area of the polygons in an easier way. A P a 2.

R r radius. For example a hexagon would have six sides. Apothem of an Octagon Formulas and Examples.

A 8s 85 2 34s. Alternatively if we know the circumradius radius of the polygon we can use this below formula to find the apothem. A Find the apothem of the regular octagon.

Round to the nearest whole number. To find the apothem we plug the length of the sides or 124 and the number of sides or 8 into the apothem formula. Let x equal the degrees of one of the base angles of the isosceles triangle.

First determine the number of sides. The solution to the equation is straightforward and this is the formula used in our. The apothem of any polygon is equal to the line that connects the center of the polygon with one of its sides perpendicularly.

Set up the formula for finding the apothem of a regular polygon. Start date Aug 24 2005. 2x 45o 180o 2x 135o x 675o Draw a line straight down from the center point of the octagon.

Measure horizontally and make a mark at 19 inches. Plug the side length into the formula. Each side of the octagon is 968 12 units as you say.

Make a mark at the zero point. N n number of sides of a polygon. Where r Radius of Polygon n Number of Sides of a Polygon cos Cos.

C o s 180 n. Answer 1 of 2. Formula Knowing the Perimeter and the Apothem.

How do you measure an octagon window. Area of a regular polygon 1 2 perimeter apothem. Cos C o s cosine function.

So you have a triangle formed by the orange. Since we know that the octagon is. The formula is the.

Given an octagon with side length 14 inches find the area. Aug 24 2005 1. This is what youre trying to find marked with letter a.

P ns 8s. We can find a formula for the apothem of an octagon by dividing the octagon into eight congruent triangles and using. Place your tape measure against the wall.

Where r is the radius circumradius of the polygon n is the number of sides cos is the. We go through an example in this video involving an octagon with an apothem of 6 uni. B Find the area of the octagon.

We know the relation 2 sin²θ 1- cos 2θ. N n number of sides. CANT COPY THE FIGURE.

The formula for the area of an octagon of regular shape is 2 1 2 side2 as seen in the figure below. Measure the total number of sides. The apothem formula when the radius is given is.

If you know the length of the perimeter in a octagon and the apothem you can calculate its area using the following formula. Finding the apothem of an octagon. Given an octagon with side length 14 inches find the area.

Learn how to find the area of a regular polygon given only the apothem. Perimeter number of sides side length.

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