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# 11.3 to 11.6

### 11.3 to 11.6 Notecards

TermDefinition
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
Circumference the distance around the circle.
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
Arc Length a portion of the circumference of a circle
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
Area of a Circle Theorem the area of a circle is π times the square of the radius. A= πr^2
Sector of a Circle the region bounded by two radii of the circle and their intercepted arc.
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
Center of a polygon the center of an circumscribed circle
Apothem of a Polygon the distance from the center to any side of the polygon
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
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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