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Question

T h e blank a r e a blank c o m m o n blank t o blank t h e blank c i r c l e blank x to the power of 2 end exponent plus y to the power of 2 end exponent equals 16 a to the power of 2 end exponent blank a n d blank y to the power of 2 end exponent equals 6 a x blank i s

  1. fraction numerator 4 a to the power of 2 end exponent over denominator 3 end fraction open parentheses 4 pi minus square root of 3 close parentheses    
  2. fraction numerator 4 a to the power of 2 end exponent over denominator 3 end fraction open parentheses 8 pi minus 3 close parentheses    
  3. fraction numerator 4 a to the power of 2 end exponent over denominator 3 end fraction open parentheses 4 pi plus square root of 3 close parentheses    
  4. fraction numerator a to the power of 2 end exponent over denominator 3 end fraction open parentheses 4 pi minus square root of 3 close parentheses    

The correct answer is: fraction numerator 4 a to the power of 2 end exponent over denominator 3 end fraction open parentheses 4 pi minus square root of 3 close parentheses

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I n blank a blank t r i a n g l e A B C blank comma blank i f blank open parentheses 1 plus fraction numerator a over denominator b end fraction plus fraction numerator c over denominator b end fraction close parentheses open parentheses 1 plus fraction numerator b over denominator c end fraction minus fraction numerator a over denominator c end fraction close parentheses equals 3 blank comma blank t h e n blank t h e blank a n g l e blank Ais equal to

I n blank a blank t r i a n g l e A B C blank comma blank i f blank open parentheses 1 plus fraction numerator a over denominator b end fraction plus fraction numerator c over denominator b end fraction close parentheses open parentheses 1 plus fraction numerator b over denominator c end fraction minus fraction numerator a over denominator c end fraction close parentheses equals 3 blank comma blank t h e n blank t h e blank a n g l e blank Ais equal to

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