Question

A radio tower is centered at (6,-16) on a coordinate grid where each unit represents 1 mile the radio signals range is 80 miles write a standard equation that describes the position and range of the tower

Answer 1

Answer:

$(x-6)^{2}+(y+16)^{2}=6,400$

Step-by-step explanation:

we know that

The equation of a circle in standard form is equal to

$(x-h)^{2}+(y-k)^{2}=r^{2}$

In this problem we have

The center of the radio tower (position) is the point $(6,-16)$

The radius of the radio tower (range) is $r=80\ miles$

substitute

$(x-6)^{2}+(y+16)^{2}=80^{2}$

$(x-6)^{2}+(y+16)^{2}=6,400$