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Dalam sebuah lingkaran yang berjari-jari 6 cm dibuat segi-12 beraturan. Panjang sisi segi-12 beraturan tersebut adalah....

Dalam sebuah lingkaran yang berjari-jari 6 cm dibuat segi-12 beraturan. Panjang sisi segi-12 beraturan tersebut adalah....

  1. 6 square root of 2 minus square root of 3 end root space c m

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

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

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

  5. 6 square root of 3 plus square root of 2 end root space c m

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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Pembahasan

P a n j a n g space x space d a p a t space d i c a r i space m e n g g u n a k a n space a t u r a n space cos i n u s  x squared equals r squared plus r squared plus 2 times r times r times cos invisible function application open parentheses fraction numerator 360 degree over denominator n end fraction close parentheses  x squared equals r squared plus r squared minus 2 times r times r times cos invisible function application open parentheses fraction numerator 360 degree over denominator n end fraction close parentheses  x squared equals 2 r squared minus 2 times r squared times cos invisible function application open parentheses fraction numerator 360 degree over denominator n end fraction close parentheses  x squared equals 2 r squared open parentheses 1 minus cos invisible function application open parentheses fraction numerator 360 degree over denominator n end fraction close parentheses close parentheses  x equals r square root of 2 open parentheses 1 minus cos invisible function application open parentheses fraction numerator 360 degree over denominator n end fraction close parentheses close parentheses end root    box enclose K a r e n a space l i n g k a r a n space d i b u a t space m e n j a d i space 12 space s i s i space m a k a space n equals 12 comma space s e h i n g g a  x equals 6 square root of 2 open parentheses 1 minus cos invisible function application open parentheses fraction numerator 360 degree over denominator 12 end fraction close parentheses close parentheses end root equals 6 square root of 2 left parenthesis 1 minus cos invisible function application 30 degree right parenthesis end root equals 6 square root of 2 open parentheses 1 minus 1 half square root of 3 close parentheses end root equals 6 square root of 2 minus square root of 3 end root end enclose

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