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Why is radius greater than apothem?

Updated: 4/28/2022
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10y ago

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In a regular polygon, the apothem is a line from the centre to the mid-point of one of the flat sides. The radius is a line from the centre to a corner, which is longer.

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Q: Why is radius greater than apothem?
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Related questions

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


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.


Is the apothem ever equal to the radius?

no


How do you find the area of a square using the radius and the apothem?

For a SQUARE, the area is (2r)2 because the length and width are the same. The apothem (radius) is used to find the area of other regular polygons.


What is the difference between an apothem and radius of a polygon?

One has a penis and one a vagina


Is the diameter of the circle always greater than the radius of the circle?

No, only if the diameter is bigger than the radius is the radius smaller than the diameter.


How does ionic radius differ from atomic radius?

Ionic radius is greater than atomic radius in a negative ion and less than it in a positive ion.


Why is the radius of an atom of iodine greater than the radius of bromine atom?

An iodine atom has one more principal energy level than a bromine atom. Therefore the radius of an iodine atom is greater than the latter.


What is the apothem of a regular hexagon with a radius of 8?

3 times the square root of 3


What is the apothem of a regular hexagon with a radius of 12 centimeters Round to the nearest tenth?

10.4 cm


Does a metal have a greater atomic radius or ionic radius?

A metal will tend to lose electrons and hence the atomic radius is higher than the ionic radius.


Is the diameter of a circle is always greater than the radius of a circle?

Yes because it is twice the size of the radius.