Solve. A power outage affected all homes and businesses within a 3 mile radius of the power station. If the power station is loc
ated 5 miles west and 6 miles north of the center of town, find an equation of the circle consisting of the furthest points from the station affected by the power outage
The power station is located 5 miles west and 6 miles north of the center of town. So if we try to locate the above points on a Cartesian plane. The co-ordinates of these points will be (-5,6).
And it is also mentioned that a power outage affected all homes and businesses within a 3 mile radius of the power station. So if we plot all the furthest points from the station affected by the power outage it will be a circle of radius 3 miles and center at (-5,6).
The equation of a circle with center (a,b) and radius r is given by :
Hence the equation of the resulting circle will be: