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Find the center and radius of the circle whose equation is given below: (x-1/2)2+(y-6)2=5

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Answer:

center: (1/2, 6)

radius: √5

Explanation:

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

(x -h)^2 +(y -k)^2 = r^2

When we compare this to the given equation:

(x -1/2)^2 +(y -6)^2 = 5

we see that h=1/2, k=6, and r^2=5.

The center is (h, k) = (1/2, 6); the radius is √5.

User DanCaparroz
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