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AP EAMCET202018 Sep 2020Morning ShiftMathematicsCircleActual

The area of an equilateral triangle inscribed in the circle (x^2+y^2-6 x+2 y-28=0 ) is sq. units

Options

  1. A( 27 3 2 )
  2. B( 37 3 2 )
  3. C( 31 3 2 )
  4. D( 57 3 2 )

Correct answer

D. ( 57 3 2 )

Step-by-step solution

Equation of given circle is ( aligned & & x^2+y^2-6 x+2 y-28 & =0 & & (x-3)^2+(y+1)^2 & =38 aligned ) Now, area of equilateral triangle ( aligned A B C & =3~( Area of G B C) & =3 ( 1 2 r^2 120^ )= 3 2 (38) 3 2 = 57 3 2 aligned )

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