Question

meteroloogist track severe stoms using Doppler radar. A polar grid is used to measure distances as the storms progress. If the center of the radar screen is the origin and each ring is 10 miles farther from the center, what is the equation of the fourth ring

Answer 1

`$(x-h)^2+(y-k)^2= (r+ 40 )^2$`

Explanation:

It is given that a meteorologist is using a Doppler radar to find out the distance of the storm as it passes using a polar grid.

The origin of the radar screen is its center.

And the distance between each ring is 10 miles from the center.

So let :

r = radius

h and k = be the coordinates of the center.

So the equation of a circle is :

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

Now the equation of the fourth circle when the radius changes by 10 miles is :

`$(x-h)^2+(y-k)^2= (r+ 40 )^2$`