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Q: The apothem is a perpendicular bisector of each side of a regular polygon?
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What is an apothem?

The line drawn from the center of a regular polygon and perpendicular to a side.


What is an apothem of a regular polygon?

An apothem is a line segment from the center of a regular polygon to the midpoint of a side.


Find the apothem of a regular polygon with an area of 625 meters and a perimeter of 100?

The apothem is 12.5 metres.


What would be the area of a regular polygon with a perimeter of 10 feet and an apothem of 14 feet?

Such a polygon is not possible.


What is the formula of an apothem?

The apothem of a regular polygon? well lets look at the math behind it before i recall it... you can scroll down to the bottom of the page if you don't want to read this. the formula is on the bottom of the page * A regular polygon is made up of a sequence of isoceles triangles.. * How do we know that they are isoceles? ------1)the triangles that make up a regular polygon are congruent -------2)the radii are always congruent . the radii of a regular polygon goes from it's center to the vertices...(hint:think of a circle's radius) * due to the fact that you have isoceles triangles they have to be made by angle bisectors through the regular polygon otherwise they couldn't be congruent * okay now that we know that the triangles are isoceles we also know that the apothem is an angle bisector so it cuts the measurement of a side in half. lets use j for our the measurement of our side. * okay we got the angle measures and our apothem made two congruent triangles so now we can use trig ratios to find our apothem so the formula is a=0.5j(tan [n-2]*180/2n) where n is the # of sides and j is the measurement of a side or you can simplify that to a=0.5j(tan [n-2]*90/n) i am using degrees for my angle meausure by the way

Related questions

The perpendicular distance from the center of a regular polygon to a side of the polygon?

Apothem


Segment from the center of a regular polygon perpendicular to a side?

That is called the apothem. The definition is: An Apothem is the distance from the center of a regular polygon to the midpoint of a side


Segment from center of regular polygon perpendicular to side?

Apothem.


What is a segment from center of regular polygon perpendicular to side?

Apothem.


A line segment drawn from the center of a regular polygon perpendicular to a side of the polygon?

apothem


What is an apothem?

The line drawn from the center of a regular polygon and perpendicular to a side.


In a regular polygon what is the name of the segment drawn from the center of the polygon to a side that is perpendicular to that side?

Apothem!


Which word describes the perpendicular distance from the center to one of the sides of a regular polygon?

apothem


How is an apothem different from a radius?

An apothem is a line drawn perpendicular to a side of a regular polygon from the center of the polygon. A polygon is not a circle so it cannot have a radius. The radius of a circle is drawn from the center to any point in the circumference of the circle. You can draw a circle which encloses the regular polygon touching all vertices. The polygon is said to be inscribed in the circle. The apothem will be less than the radius because the radius is not perpendicular to any side, it can be drawn to a vertex but the apothem is perpendicular to a side, so it is shorter. Ex: draw a square with a circle which inscribes it. You can see that the apothem will be less than the radius.


What is an apothem of a regular polygon?

An apothem is a line segment from the center of a regular polygon to the midpoint of a side.


Is the radius of a regular polygon always greater than the apothem?

yes the radius of a regular polygon is always greater than the apothem


The distance from the center of a regular polygon to a side of the polygon?

A Apothem