Notes—Section 10.3 Area of Regular Polygons Regular Polygons: All __________ congruent, all _____________ congruent. Common Examples: Square Equilateral Triangle Regular Hexagon
r
45
r
a
r 30 a
a
30
45
apothem (a) =
60
distance from _________
60
radius (r) = distance from ________ to _____________________
to _________________ Area of a Regular Polygon
Find the missing information: 1.)
r
a
2.)
r 3 2 a _____ side length = ______ P _____ A _____
r
a
3.)
r
a
r _____ a3 side length = ______ P _____ A _____
4.)
r
a
6.)
r _____
r
a
r _____ a _____ side length = ______ P6 3 A _____
5.)
a4 3 side length = ______ P _____ A _____
r _____ a4 side length = ______ P _____ A _____
r
a
r _____ a _____ side length = ______ P 24 A _____
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Proof Without Words: The Area of a Regular Dodecagon. Roger B. Nelsen ([email protected]), Lewis & Clark College, Portland, OR. Theorem. A regular dodecagon inscribed in a circle of radius 1 has area 3. Proof. For other ways to dissect the dodecagon
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Jul 5, 2013 - pression, for example by adding terms that should not be matched, until reaching a local optimum in terms of precision and recall. The proposal is assessed on regular expressions for extracting phone numbers, university course names, so
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