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Write the equation of the circle graphed below

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

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Answer:

Explanation:

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The basic equation of a circle is

(x - a)^2 + (y - b)^2 = r^2

a and b are the coordinates of the center of the circle

r is the radius.

Development of the equation

r = 1 - 1/2 = 1/2. r is the distance between the red dot and the blue dot.

So far what you have is (x - a)^2 + (y - b)^2 = (1/2)^2

The center is the red dot.

x = 1

y = - 1

Answer: (x - 1)^2 + (y + 1/2)^2 = 1/4

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