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
2 answers:
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
(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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Step-by-step explanation:
the answer is in the image above
