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Find the radius and center of the circle given by the equation below. (x – 6)2 + (y + 4)2 = 7

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center will be (6,-4) and the radius will be square root of 7
User Nick Bedford
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8.4k points
5 votes

Answer:

Center (6 , -4) and radius √7.

Explanation:

Given : (x – 6)² + (y + 4)² = 7

To find : Find the radius and center of the circle .

Solution : We have given that (x – 6)² + (y + 4)² = 7

We can write this equation as (x – 6)² + (y + 4)² = (√7)².

Standard form of circle (x – h)² + (y - k)² = (r)².

Where, (h , k) center coordinates , r =radius .

On comparing with standard equation :

h = 6, k = -4 and r = √7.

Therefore, Center (6 , -4) and radius √7.

User Billfredtom
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7.3k points