Question

What is the equation of this circle in general form?

Responses

x2+y2−2x−6y−26=0
x squared plus y squared minus 2 x minus 6 y minus 26 equals 0

x2+y2+2x+6y−26=0
x squared plus y squared plus 2 x plus 6 y minus 26 equals 0

x² + y² + 2x + 6y + 4 = 0
x, ² +, y, ² + 2, x, + 6, y, + 4 = 0

x2+y2−2x−6y+4=0

Answer 1

Answer: for future k-12 kids :)

Explanation:

Answer 2

(a) x² +y² -2x -6y -26 = 0

Explanation:

You want the equation for the circle with center (1, 3) and radius 6 written in general form.

Circle equation

The standard form equation for a circle with center (h, k) and radius r is ...

(x -h)² +(y -k)² = r²

The radius and center are found from the graph, attached. For the circle centered at (h, k) = (1, 3) and radius r = 6, this is ...

(x -1)² +(y -3)² = 6²

Expanding this equation gives ...

x² -2x +1 +y² -6y +9 = 36

Written in general form, the equation becomes ...

x² +y² -2x -6y -26 = 0 . . . . matches choice A

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Additional comment

There is an image of this question showing the correct answer choice is the third one. However, that answer choice shows up first on this instance of the question. You will need to read and compare answer content to make sure you have the correct choice. You cannot go by the order of the the answers.

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