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) $x^{2}+y^{2}=256$

Question

Quizplus · Accepted Answer

The equation of a circle with radius $r$ is $x^{2}+y^{2}=r^{2}$. Since the maximum range is 16 miles, $r=16$, so $r^{2}=256$.

Solve the Problem x2+y2=16x^{2}+y^{2}=16x2+y2=16 B) x2−y2=16x^{2}-y^{2}=16x2−y2=16 C) x2+y2=32x^{2}+y^{2}=32x2+y2=32 D) x2+y2=256x^{2}+y^{2}=256x2+y2=256

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