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#33607

scale

circles

geometry

medium

45 sec

Circle A in the $x y$ -plane has the equation $(x + 2)^{2} + (y - 4)^{2} = 25$ . Circle B has the same center as circle A. The radius of circle B is half the radius of circle A. The equation defining circle B in the $x y$ -plane is $(x + 2)^{2} + (y - 4)^{2} = k$ , where $k$ is a constant. What is the value of $k$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.