Question
A new cellular phone tower services all phones within a 20 mile radius. Doreen lives 16 miles east and 12
miles south of the tower. Is she within the area serviced by the tower? Complete the explanation.
The range of the tower can be modeled by a circle with a radius of and a center at the origin. The
equation of the circle is x2 + y2 = 202 = 400. Doreen lives at the point (
), which (select)
on the circle: 162 + (12)2 = 256 + 144 (select) 400. Therefore, Doreen (select) in the area serviced
by the tower