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#12617

scale

circles

geometry

hard

40 sec

Circle R in the $x y$ -plane has the equation $(x + 1)^{2} + (y - 7)^{2} = 36$ . Circle S has the same center as circle R. The radius of circle S is half the radius of circle R. The equation defining circle S in the $x y$ -plane is $(x + 1)^{2} + (y - 7)^{2} = m$ , where $m$ is a constant. What is the value of $m$ ?

• 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.