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kari74 [83]
3 years ago
13

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

Mathematics
2 answers:
valentina_108 [34]3 years ago
4 0
Center will be (6,-4) and the radius will be square root of 7
Nat2105 [25]3 years ago
4 0

Answer:

Center (6 , -4) and radius  √7.

Step-by-step 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.

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