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#12616

scale

circles

geometry

hard

40 sec

Circle P in the $x y$ -plane has the equation $(x - 2)^{2} + (y + 3)^{2} = 25$ . Circle Q has the same center as circle P. The radius of circle Q is three times the radius of circle P. The equation defining circle Q in the $x y$ -plane is $(x - 2)^{2} + (y + 3)^{2} = k$ , 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.