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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 - 5)² = 20

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.

so we have (x - -3)² + (y - 5)² = r²

(x + 3)² + (y - 5)² = r²

r = the line from (1,7) to (-3, 5).

length of this is √[(-3 - 1)² + (5 - 7)²]

= √(16 + 4)

= √20

so r² = (√20)² = 20.

equation of circle is (x + 3)² + (y - 5)² = 20

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