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11.3 to 11.6 Notecards

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Term
Definition
Areas of Similar Polygons Theorem   if two polygons are similar with the lengths of corresponding sides in the ratio of a:b then the ratio of their areas is a^2: a^b  
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Circumference   the distance around the circle.  
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Circumference of a Circle Theorem   the circumference C of a circle is C= πd or C= 2πr, where d is the diameter of the circle and r is the radius of the circle  
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Arc Length   a portion of the circumference of a circle  
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Arc Length Corollary   in a circle, the ratio of the length of a given arc to the circumference is equal to the ratio of the measure of the arc to 360 degrees  
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Area of a Circle Theorem   the area of a circle is π times the square of the radius. A= πr^2  
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Sector of a Circle   the region bounded by two radii of the circle and their intercepted arc.  
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Area of Sector Theorem   the ratio of the area of a sector of a circle to the area of the whole circle (πr^2) is equal to the ratio of the measure of the intercepted arc to 360 degrees  
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Center of a polygon   the center of an circumscribed circle  
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Radius of a polygon   the radius of an circumscribed circle  
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Apothem of a Polygon   the distance from the center to any side of the polygon  
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Central Angle of a Regular Polygon   an angle formed by two radii drawn to consecutive vertices of the polygon. to find the measure of each central angle divide 360 by the number of sides  
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Area of a Regular Polygon Theorem   the area of a regular n-gon with side length s is one half the product of the apothem (a) and the perimeter (P). A= 1/2aP or A=1/2a x ns  
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Created by: madazcueta
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