The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. the equation of this circle in standard form is . the center of the circle is at the point , and its radius is units. the general form of the equation of a circle that has the same radius as the above circle is

Complete the square for x and y.
   (x² +42x +21²) + (y² +38y +19²) = 47 + 21² + 19²

The equation of this circle in standard form is
   (x +21)² + (y +19)² = 849
The center of the circle is at the point
   (-21, -19)
Its radius is
   √849

The general form of a circle centered at the origin with the same radius is
   x² + y² - 849 = 0

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