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Why is the radius of a regular polygon greater than the apothem?
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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 are the measures in a regular polygon?
The area of a regular polygon is given by the following formula: area =(1/2) (apothem)(perimeter).There are several other formulas that can be used. Regular Polygon Formulas are: N=number of sides, s= length, r = apothem (adiius of inscribed circle) R = radius of circumcircle. Using any of these formulas you can find the measurements of a regular polygon.
What is the area of a regular polygon if the radius is 8 cm?
The area of a regular polygon with n sides is the half of the product of its perimeter and the apothem. So that you do not have enough information to find the area of the polygon (for example how many sides it has, or the side length).
What is the difference between an apothem and radius of a polygon?
One has a penis and one a vagina
Why does a circle has a radius but a square does not?
A circle has a radius because each radius is the same. A square does not because if it did, not every radius would be the same. Since a square is a regular polygon, it has an apothem, which goes from the center to the middle of a side, so it doesn't need a radius.
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
Why is radius greater than apothem?
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.
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 are the measures in a regular polygon?
The area of a regular polygon is given by the following formula: area =(1/2) (apothem)(perimeter).There are several other formulas that can be used. Regular Polygon Formulas are: N=number of sides, s= length, r = apothem (adiius of inscribed circle) R = radius of circumcircle. Using any of these formulas you can find the measurements of a regular polygon.
What is the area of a regular polygon if the radius is 8 cm?
The area of a regular polygon with n sides is the half of the product of its perimeter and the apothem. So that you do not have enough information to find the area of the polygon (for example how many sides it has, or the side length).
What is the difference between an apothem and radius of a polygon?
One has a penis and one a vagina
Why does a circle has a radius but a square does not?
A circle has a radius because each radius is the same. A square does not because if it did, not every radius would be the same. Since a square is a regular polygon, it has an apothem, which goes from the center to the middle of a side, so it doesn't need a radius.
What does an apathum look like?
The apothem is the perpendicular from the cent of a regular polygon to one of it's sides. When drawn it looks like the line drawn for the radius or circumference of a circle.
What is the formula for a polygon if you are looking for the area?
The answer depends on the information that is available to you and whether or not the polygon is regular or irregular. If it is irregular, then you will need to divide it up into triangles, find the area of each triangle and sum the results. This will require knowledge of all sides and angles (except one).If it is regular than the answer depends on whether you know the side length, the apothem (radius of incentre) or the radius of the circumcentre.
What is the apothem of a regular hexagon with a radius of 8?
3 times the square root of 3
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 apothem of a regular hexagon with a radius of 12 centimeters Round to the nearest tenth?
10.4 cm
