Inscribed Regular Polygon

Name the pictured construction.

• Circled Hexagon

• Hexagon Inscribed in a Circle

• Square Inscribed in a Circle

• Triangle Inscribed in a Circle

Tags

CCSS.HSG.C.B.5

To inscribe a hexagon inside a circle, which length should you set your compass to?

• The radius

• The diameter

• Half of the radius

• It depends on the size of the circle

The steps shown are a part of the construction of which figure?

• inscribed square

• circumscribed rectangle

• inscribed equilateral triangle

• regular hexagon

An apothem of the regular polygon is the radius of the inscribed circle

• True

• False

• A

• B

• C

• D

• E

Tags

CCSS.3.MD.D.8

A radius of a regular polygon bisects the vertex angle of the polygon to which it is drawn.

• True

• False

As the number of sides of a regular polygon inscribed in a circle increases, the length of the apothem of the polygon decreases.

• True

• False

Tags

CCSS.HSG.CO.A.3

A circle can be inscribed in any regular polygon.

• True

• False

If a circle is divided into three or more equal arcs, the chords of these arcs form a regular polygon.

• True

• False

Tags

CCSS.HSG.CO.A.4

Which polygon inscribed in a circle will be regular?

• equiangular

• equilateral

• both