Expression 10: left parenthesis, "B" Subscript, 1 , Baseline plus "S" cos "t" , "B" Subscript, 2 , Baseline plus "S" sin "t" , right parenthesisB1+Scost,B2+Ssint
domain t Minimum: negative StartFraction, pi Over 2 , EndFraction−π2
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 00
10
Expression 11: left parenthesis, "D" Subscript, 1 , Baseline plus "S" cos "t" , "D" Subscript, 2 , Baseline plus "S" sin "t" , right parenthesisD1+Scost,D2+Ssint
domain t Minimum: pi minus StartFraction, pi Over 2 , EndFractionπ−π2
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: piπ
11
Expression 12: polygon left parenthesis, "E" , "F" , "M" , "N" , right parenthesispolygonE,F,M,N
12
Expression 13: left parenthesis, "A" Subscript, 1 , Baseline plus "S" cos "t" , "A" Subscript, 2 , Baseline plus "S" sin "t" , right parenthesisA1+Scost,A2+Ssint
domain t Minimum: 1 sixth pi16π
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 sixths pi26π
13
Expression 14: left parenthesis, "C" Subscript, 1 , Baseline plus "S" cos "t" , "C" Subscript, 2 , Baseline plus "S" sin "t" , right parenthesisC1+Scost,C2+Ssint
domain t Minimum: 1 sixth pi plus pi16π+π
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 sixths pi plus pi26π+π
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Expression 15: left parenthesis, "D" Subscript, 1 , Baseline plus "S" cos "t" , "D" Subscript, 2 , Baseline plus "S" sin "t" , right parenthesisD1+Scost,D2+Ssint
domain t Minimum: 4 sixths pi46π
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 5 sixths pi56π
15
Expression 16: left parenthesis, "B" Subscript, 1 , Baseline plus "S" cos "t" , "B" Subscript, 2 , Baseline plus "S" sin "t" , right parenthesisB1+Scost,B2+Ssint
domain t Minimum: 4 sixths pi plus pi46π+π
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 5 sixths pi plus pi56π+π
16
Expression 17: polygon left parenthesis, "A" , "B" , "C" , "D" , right parenthesispolygonA,B,C,D
17
Coordinates
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18
Points
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31
38
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Start black, "S" equals 1 End blackS=1
Start black, StartFraction, "D" Subscript, "a" "r" "k" "e" "s" "t" "A" "r" "e" "a" , Baseline Over "S" squared , EndFraction equals StartFraction, pi plus 3 Over 3 , EndFraction minus StartRoot, 3 , EndRoot equals 0.3 1 5 1 4 6 7 4 3 6 2 8 End blackDarkestAreaS2=π+33−3=0.315146743628