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#16106

geometry

circles

transformations

medium

55 sec

Circle M has center $(0, 0)$ and a radius of $7$ . Circle N is the result of shifting circle M $5$ units right and $1$ unit up, and scaling its radius so that the radius of circle N is $4$ times the radius of circle M. If the equation of circle N is given by $(x - h)^{2} + (y - k)^{2} = r^{2}$ , what is the value of $r^{2}$ ?

• 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.