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In this lesson, we will learn how to solve word problems involving the equation of a circle.

Q1:

A radar is located at the point π΄ ( β 9 , β 5 ) covering a circular region with a radius of 27 length units. Determine the equation of the circle that gives the boundary of the radarβs reach.

Q2:

A radar is located at the point π΄ ( β 2 , β 4 ) covering a circular region with a radius of 27 length units. Can the radar observe a ship at the point π΅ ( 1 0 , 0 ) ?

Q3:

The radius of the area in which a rocket may land is three times its current altitude. If a rocketβs altitude is 333 feet, write the equation that describes its landing circle, assuming its center is at the origin.

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