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#12618

scale

circles

geometry

hard

40 sec

Circle T in the $x y$ -plane has the equation $(x - 4)^{2} + (y + 1)^{2} = 9$ . Circle U has the same center as circle T. The radius of circle U is 5 more than the radius of circle T. The equation defining circle U in the $x y$ -plane is $(x - 4)^{2} + (y + 1)^{2} = p$ , where $p$ is a constant. What is the value of $p$ ?

• 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.