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Nookie1986 [14]
3 years ago
11

meteroloogist track severe stoms using Doppler radar. A polar grid is used to measure distances as the storms progress. If the c

enter 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
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

Answer:

$(x-h)^2+(y-k)^2= (r+ 40 )^2$  

Step-by-step 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 :

$(x-h)^2+(y-k)^2= (r+ 40 )^2$  

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