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Determine the equation of the circle graphed below

Determine the equation of the circle graphed below-example-1

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Answer:

(x + 3)² + (y - 4)² = 6²

Explanation:

Equation of a circle is (x - a)² + (y - b)² = r²,

where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.

the centre is at (-3 ,4). looking at largest and smallest y-values, the radius is half of that. largest y = 10, smallest = -2. difference = 12. radius is half = 6.

equation of circle is (x - -3)² + (y - 4) = 6²

(x + 3)² + (y - 4)² = 6²

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