Question

Which equation represents a circle with the same center as

the circle shown but with a radius of 2 units?
(x-4)^2+ (y - 5)^2 = 2
(x-4)^2+ (y - 5)^2 = 4
(x - 5)^2 + (y - 4)^2 = 2
(x - 5)^2 + (y - 4)^2 = 4
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Answer 1

The Equation (x-5)^2 + (y-4)^2 = 4 is the equation which represents a circle with the same center.

Explanation:

• The equation of a circle is (x – h)2 + (y – k)2 = r2,

• Therefore substituting the values in the above equation of circle. we get

• (x-5)^2 + (y-4)^2 = 4