Solve the Problem $x^{2}+y^{2}=16$ B) $x^{2}-y^{2}=16$ C) $x^{2}+y^{2}=32$ D) $x^{2}+y^{2}=256$

Multiple Choice

Solve the problem.
-A wildlife researcher is monitoring a black bear that has a radio telemetry collar with a transmitting range of 16 miles. The researcher is in a research station with her receiver and tracking the bear's movements. If we put the origin of a coordinate system at the research station, what is the equation of all possible locations of the bear where the transmitter would be at its maximum range?

A) $x^{2}+y^{2}=16$
B) $x^{2}-y^{2}=16$
C) $x^{2}+y^{2}=32$
D) $x^{2}+y^{2}=256$