Expression 16: polygon left parenthesis, "S" , "P" Subscript, 1 , Baseline , "P" Subscript, 2 , Baseline , right parenthesis Has graph.polygonS,P1,P2
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Expression 17: polygon left parenthesis, "S" , "M" , right parenthesis Has graph.polygonS,M
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Punkter
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Hidden Label: "S" equals left parenthesis, "S" Subscript, 1 , Baseline , "S" Subscript, 2 , Baseline , right parenthesis equals left parenthesis, 0 , 0 , right parenthesis Has graph. To audio trace, press ALT+T.S=S1,S2
Label
equals=
left parenthesis, 0 , 0 , right parenthesis0,0
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Hidden Label: "P" Subscript, 1 , Baseline equals left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "P" left bracket, 1 , right bracket minus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "P" left bracket, 1 , right bracket minus phi , right parenthesis , right parenthesis equals left parenthesis, 6 , 0 , right parenthesis Has graph. To audio trace, press ALT+T.P1=S1+RcosP1−ϕ,S2+RsinP1−ϕ
Label
equals=
left parenthesis, 6 , 0 , right parenthesis6,0
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Hidden Label: "P" Subscript, 2 , Baseline equals left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "P" left bracket, 2 , right bracket minus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "P" left bracket, 2 , right bracket minus phi , right parenthesis , right parenthesis equals left parenthesis, 3 , 5.1 9 6 1 5 2 4 2 2 7 1 , right parenthesis Has graph. To audio trace, press ALT+T.P2=S1+RcosP2−ϕ,S2+RsinP2−ϕ
Label
equals=
left parenthesis, 3 , 5.1 9 6 1 5 2 4 2 , right parenthesis3,5.19615242
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Hidden Label: "M" equals midpoint left parenthesis, "P" Subscript, 1 , Baseline , "P" Subscript, 2 , Baseline , right parenthesis equals left parenthesis, 4.5 , 2.5 9 8 0 7 6 2 1 1 3 5 , right parenthesis Has graph. To audio trace, press ALT+T.M=midpointP1,P2
Label
equals=
left parenthesis, 4.5 , 2.5 9 8 0 7 6 2 1 , right parenthesis4.5,2.59807621
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Calculations
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23
Expression 24: "S" Subscript, "i" "d" "e" , Baseline equals 2 "R" cosine left parenthesis, pi StartFraction, 180 minus "C" Subscript, "e" "n" "t" "e" "r" "A" "n" "g" "l" "e" , Baseline Over 360 , EndFraction , right parenthesis equals 6Side=2Rcosπ180−CenterAngle360
equals=
66
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Expression 25: "C" Subscript, "i" "r" "c" "l" "e" "S" "e" "c" "t" "o" "r" "A" "r" "e" "a" , Baseline equals StartFraction, pi "R" squared Over "n" , EndFraction equals 18.8 4 9 5 5 5 9 2 1 5CircleSectorArea=πR2n
equals=
18.8 4 9 5 5 5 9 2 1 518.8495559215
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Expression 26: "A" Subscript, "n" "g" "l" "e" "S" "u" "m" , Baseline equals 180 left parenthesis, "n" minus 2 , right parenthesis equals 720AngleSum=180n−2
equals=
720720
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Expression 27: "C" Subscript, "e" "n" "t" "e" "r" "A" "n" "g" "l" "e" , Baseline equals StartFraction, 360 Over "n" , EndFraction equals 60CenterAngle=360n
equals=
6060
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Expression 28: "r" equals "R" sine StartFraction, left parenthesis, "n" minus 2 , right parenthesis pi Over 2 "n" , EndFraction equals 5.1 9 6 1 5 2 4 2 2 7 1r=Rsinn−2π2n
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
12 pi12π
domain \theta Maximum:
equals=
5.1 9 6 1 5 2 4 2 2 7 15.19615242271
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Expression 29: "P" Subscript, "o" "l" "y" "g" "o" "n" "A" "r" "e" "a" , Baseline equals StartFraction, "n" left parenthesis, "r" "S" Subscript, "i" "d" "e" , Baseline , right parenthesis Over 2 , EndFraction equals 93.5 3 0 7 4 3 6 0 8 7PolygonArea=nrSide2
equals=
93.5 3 0 7 4 3 6 0 8 793.5307436087
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Expression 30: StartFraction, "n" "R" "S" Subscript, "i" "d" "e" , Baseline Over 2 , EndFraction sine left parenthesis, pi StartFraction, 180 minus "C" Subscript, "e" "n" "t" "e" "r" "A" "n" "g" "l" "e" , Baseline Over 360 , EndFraction , right parenthesis equals 93.5 3 0 7 4 3 6 0 8 7nRSide2sinπ180−CenterAngle360
equals=
93.5 3 0 7 4 3 6 0 8 793.5307436087
30
Tekst
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31
46
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"S" Subscript, "i" "d" "e" , Baseline equals 2 "R" cosine left parenthesis, pi StartFraction, 180 minus "C" Subscript, "e" "n" "t" "e" "r" "A" "n" "g" "l" "e" , Baseline Over 360 , EndFraction , right parenthesis equals 6Side=2Rcosπ180−CenterAngle360=6
"C" Subscript, "i" "r" "c" "l" "e" "S" "e" "c" "t" "o" "r" "A" "r" "e" "a" , Baseline equals StartFraction, pi "R" squared Over "n" , EndFraction equals 18.8 5CircleSectorArea=πR2n=18.85
"A" Subscript, "n" "g" "l" "e" "S" "u" "m" , Baseline equals 180 degrees left parenthesis, "n" minus 2 , right parenthesis equals 720 degreesAngleSum=180°n−2=720°
"C" Subscript, "e" "n" "t" "e" "r" "A" "n" "g" "l" "e" , Baseline equals StartFraction, 360 degrees Over "n" , EndFraction equals 60 degreesCenterAngle=360°n=60°
"r" equals "R" sine StartFraction, left parenthesis, "n" minus 2 , right parenthesis pi Over 2 "n" , EndFraction equals 5.2r=Rsinn−2π2n=5.2
"P" Subscript, "o" "l" "y" "g" "o" "n" "A" "r" "e" "a" , Baseline equals StartFraction, "n" left parenthesis, "r" "S" Subscript, "i" "d" "e" , Baseline , right parenthesis Over 2 , EndFraction equals 93.5 3PolygonArea=nrSide2=93.53
"C" Subscript, "i" "r" "c" "l" "e" "A" "r" "e" "a" , Baseline equals pi "R" squared equals 113.1CircleArea=πR2=113.1
