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

Anonymous

∙ 12y ago

Updated: 4/28/2022

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

Wiki User

∙ 12y ago

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

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Continue Learning about Geometry

Which polygon is always regular?

A Square is a polygon that is always regular.

Describe an apothem in a regular polygon?

An apothem is the red segment in the diagram (Figure1). B is the center point of the hexagon, and the blue line are radii of the polygon. An apothem is always from the center of the polygon, to the outside, and it is always perpandicular to the side it is touching. You find the area of any polygonwith this equation: (.5) n a s In the formula, n= number of sides, a= the length of the apothem, and s= the length of any given side. Figure1: seehttp://education.yahoo.com/homework_help/math_help/solutionimages/minigeogt/10/1/1/minigeogt_10_1_1_14_90/f-548-17-1.gifHope I helped!!!

Is a convex polygon always a regular polygon?

No, a scalene triangle, for example, is a convex poygon but it is not regular.

What is the sum of the measures of the interior angles of the regular polygon if each exterior measures 120?

Hint: in a regular polygon interior plus exterior = 180o, always.

A square is always an example of what?

A quadrilateral, a parallelogram, a rhombus, a rectangle, a regular polygon.

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Related Questions

The apothem is a perpendicular bisector of each side of a regular polygon?

always

Is the apothem always a perpendicular bisector of each side of a polygon?

yes

Which polygon is always regular?

A Square is a polygon that is always regular.

Describe an apothem in a regular polygon?

An apothem is the red segment in the diagram (Figure1). B is the center point of the hexagon, and the blue line are radii of the polygon. An apothem is always from the center of the polygon, to the outside, and it is always perpandicular to the side it is touching. You find the area of any polygonwith this equation: (.5) n a s In the formula, n= number of sides, a= the length of the apothem, and s= the length of any given side. Figure1: seehttp://education.yahoo.com/homework_help/math_help/solutionimages/minigeogt/10/1/1/minigeogt_10_1_1_14_90/f-548-17-1.gifHope I helped!!!

Is a regular polygon always equiangular?

Yes, a regular polygon is always equiangular.

Can a regular polygon be equilateral?

a regular polygon is always equilateral

What polygon is always a regular polygon?

A square, pentagon, decagon, octagon are always regular polygons.

Does a polygon with a greater area always have a greater perimeter?

No it depends on the size of the polygon

Are regular polygons always equiangular?

A regular polygon is always equiangular.

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

Is a convex polygon always a regular polygon?

No, a scalene triangle, for example, is a convex poygon but it is not regular.

What polygon is always regular?

Squares, rhombera, and equilateral triangles are always regular.

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