Acircle is centered at c(-5,4)and has a radius of 2. find the equation of a concentric circle with half the radius.

 The required equation of the concentric circle is

Step-by-step explanation:  Given that a circle is centered at the point C(-5,4) and has a radius of 2 units.

We are to find the equation of a concentric circle with half the radius.

We know that

the standard equation of a circle with center at the point (h, k) and radius 'r' units is given by

Since the centers of two concentric circles are same, so the center of the circle will be

center, (h, k) = (-5, 4)  and  radius is equal to half of 2 units.

So, radius of the concentric circle will be

Therefore, the equation of the concentric circle is

Thus, the required equation of the concentric circle is

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step-by-step explanation: