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

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

Starts here2:35Find Area of Regular Polygon Given Apothem – YouTubeYouTubeStart of suggested clipEnd of suggested clip54 second suggested clipSo if we multiply by eight we get a hundred and twenty square units now if you want a formula a lotMoreSo if we multiply by eight we get a hundred and twenty square units now if you want a formula a lot of students like to use a formula area equals one-half apothem times perimeter.

What is the apothem of a polygon?

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.

What is the formula for a polygon area?

The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

How do you find the area of a pentagon with the apothem?

The formula that is used to find the area of a pentagon using the apothem and side length is, Area = 5/2 × s × a. Here, “s” is the side length and “a” is the. Observe the following pentagon to see the apothem ‘a’ and the side length ‘s’.

How do you find the side length of a polygon given the apothem?

Starts here14:28Find the Area of a Regular Polygon Given Apothem, Side, Perimeter, or …YouTube

How do you find the area with an apothem and side length?

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.

What is apothem of a pentagon?

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 side length of a polygon with the apothem?

How do you find the area of a regular polygon with only the radius?

Starts here2:46Find the Area of Regular Polygon Given Radius – YouTubeYouTube

How do you find the area of a polygon with apothem?

To calculate the area of a polygon with the help of apothem, we use the formula: a a = apothem. P P = perimeter. Example: Find the area of a regular hexagon, if the side length is 5 5 inches, and the apothem is 3 3 inches.

How to find the length of the apothem of a circle?

The apothem is also the radius of a circle that is drawn entirely inside the regular polygon. The formula for the area of a regular polygon is, A = l 2 n 4 t a n π n, is the side length and n is the number of sides. We can use the apothem area formula of a polygon to calculate the length of the apothem.

How do you find the area of a regular polygon?

The formula for the area of a regular polygon is, A = l 2 n 4 t a n π n, is the side length and n is the number of sides. We can use the apothem area formula of a polygon to calculate the length of the apothem. A = 1 2 × a × P, where, A is the polygon area, a is the apothem, and P is the perimeter.

What does apothem mean in math?

Apothem. Definition: A line segment from the center of a regular polygon to the midpoint of a side. Try this Adjust the polygon below by dragging any orange dot, or alter the number of sides. Note the behavior of the apothem line shown in blue.