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geometry
videotext, unit I, part C, lesson 5
10
Mathematics
10th Grade
01/26/2011

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Term
regular polygon
Definition
a simple closed plane curve made only with straight line segments in which all the sides are of equal measure, and all the angles are of equal measure. In other words, the polygon is equilateral and equiangular
Term
circumscribed circle
Definition
a circle which completely encolses a polygon and touches the polygon at all of its corners. In other words, the circle contains all of the corners of the polygon.
Term
inscribed circle
Definition
a circle which is completely enclosed by a polygon and barely touches all of the sides of the polygon
Term
circumscribed polygon
Definition
a polygon which completely encloses a circle, with all of its sides just touching the circle. This is equivalent to the polygon having an inscribed circle.
Term
inscribed polygon
Definition
a polygon which is completely encolsed by a circle and touches the circle with all of its corners. This is equivalent to the polygon having a circumscribed circle.
Term
center of a regular polygon
Definition
the distance from the center of the polygon to any one of the corners of the polygon. This is the same as the radius of the circumscribed circle for that polygon.
Term
radius of a regular polygon
Definition
the distance from the center of the polygon to any one of the corners of the polygon. This is the same as the radius of the circumscribed circle for that polygon.
Term
apothem of a regular polygon
Definition
the shortest distance from the center of the polygon to any one of the sides of the polygon. This is the same as the radius of the inscribed circle for that polygon.
Term
perimeter of a regular polygon
Definition
P = n times s
n equals number of sides
s equals length of a side
Term
area of a regular polygon
Definition
A= (1/2)asn
a=apothem
n= number of sides
s= length of sides

can also be writen A=(1/2)aP
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