Circle Question Precalculus

A small radio transmitter broadcasts in a 44 mile radius. If you drive along a straight line from a city 49 miles north of the transmitter to a second city 61 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

-please when answering be as descriptive as possible and describe clearly how you got the answer

Solution

Here is the URL to the solution.

https://www.desmos.com/calculator/lqhpai7ihr

Video showed the exponent on 612 in the wrong location. Should have been (x2-122x+612)