Mathematics: This circle is centered at the point (2,6), and the length of its radius is 4. What is the equation of the circle? O A. (x-6)2 + (x - 2)2 = 16 O B. (x²-2) + (7-6) = 4² O C. (x - 2)2 + (-6)2 = 16 O D. (x + 2)2 + (x + 5)2 = 4

This circle is centered at the point (2,6), and

emmalado45

20.01.2022

Option C: (x-2)^2+(y-6)^2=16 is the equation of the circle.

Explanation:

Given that the circle is centered at the point (2,6) and the length of its radius is 4.

We need to determine the equation of the circle.

The equation of the circle with center (h,k) and radius r is given by the equation,

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

Substituting the center and the radius in the above formula, we get,

(x-2)^2+(y-6)^2=4^2

Simplifying the radius, we get,

(x-2)^2+(y-6)^2=16

Thus, the equation of the circle is (x-2)^2+(y-6)^2=16

Hence, Option C is the correct answer.

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emilyjanae9961

29.11.2020

Step-by-step explanation:

I think its C and if its not try A

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