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Keliling segi-12 beraturan yang jari-jari lingkaran luarnya r cm adalah.....

Keliling segi-12 beraturan yang jari-jari lingkaran luarnya r cm adalah.....

  1. 2 r square root of 2 minus square root of 3 space end root space c m

  2. 6 r square root of 2 minus square root of 3 end root space c m

  3. 12 r square root of 2 minus square root of 3 end root space c m

  4. 6 r square root of 2 plus square root of 3 end root space c m

  5. 12 r square root of 2 plus square root of 3 end root space c m

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M a k a space b e s a r space s u d u t space alpha equals 360 to the power of o over 12 equals 30 to the power of o  S e h i n g g a  cos alpha equals fraction numerator O E squared plus O F squared minus E F squared over denominator 2 cross times O E cross times O F end fraction  cos 30 to the power of o equals fraction numerator r squared plus r squared minus E F squared over denominator 2 cross times r cross times r end fraction  1 half square root of 3 equals fraction numerator r squared plus r squared minus E F squared over denominator 2 cross times r cross times r end fraction  1 half square root of 3 equals fraction numerator 2 r squared minus E F squared over denominator 2 r squared end fraction  square root of 3 r squared equals 2 r squared minus E F squared  E F squared equals 2 r squared minus square root of 3 r squared  E F squared equals r squared open parentheses 2 minus square root of 3 close parentheses  E F equals square root of r squared open parentheses 2 minus square root of 3 close parentheses end root  E F equals r square root of 2 minus square root of 3 end root  e h i n g g a space k e l i l i n g space s e g i space 12 space a d a l a h space 12 space E F space equals space 12 r square root of 2 minus square root of 3 end root

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