1. Inscribed PolygonsInscribed Polygons
You will learn to inscribe regular polygons in circles and explore
the relationship between the length of a chord and its distance
from the center of the circle.
1) circumscribed
2) inscribed
2. Inscribed PolygonsInscribed Polygons
When the table’s top is open, its circular top is said to be ____________
about the square.
circumscribed
We also say that the square is ________ in the circle.inscribed
Definition
of
Inscribed
Polygon
A polygon is inscribed in a circle if and only if every vertex of
the polygon lies on the circle.
3. Inscribed PolygonsInscribed Polygons
A
F
B
C
D E
Some regular polygons can be
constructed by inscribing them in circles.
Inscribe a regular hexagon, labeling
the vertices, A, B, C, D, E, and F.
Construct a perpendicular segment
from the center to each chord.
From our study of “regular polygons,”
we know that the chords
AB, BC, CD, DE, and EF are
_________congruent
From the same study, we also know that all of the perpendicular segments,
called ________, are _________.apothems congruent
Make a conjecture about the relationship between the measure of the chords
and the distance from the chords to the center.
The chords are congruent because the distances from the center of the
circle are congruent.
P
