Graphing Circles WS

Match each equation with its graph.
IMP III – Orchard Hideout
Graphing Circles Worksheet
Name________________
Graph _______ Graph _______ Graph _______
Graph _______ Graph _______ Graph _______
Using a compass, graph the equation. Give the radius of the circle.
Radius _______ Radius _______ Radius _______
Graph _______ Graph _______ Graph _______

Write the equation of a circle that passes through the given point.
(0, -10) (-3, -4) (-4, -1)
Equation______________ Equation______________ Equation______________
(5, -3) (-6, 4) (-1, -9)
Equation______________ Equation______________ Equation______________
Circle Applications
Lighthouse:
The beam of a lighthouse can be seen for up to 20 miles.
Write an inequality to describe the region lit by the lighthouse beam.
You are on a ship that is 10 miles east and 16 miles north of the lighthouse.
Can you see the lighthouse beam? Explain the math that justifies your answer.
Air Traffic Control:
An air traffic control tower can detect jets up to 50 miles away.
Write an inequality that describes the region in which jets can
be detected by the control tower.
___________________
You are in an airplane 42 miles east and 43 miles south of the control tower. Can the control tower
detect your plane? Explain the math that justifies your answer.
Suppose a jet is 35 miles west and 66 miles north of the control tower traveling at a speed of 500miles
per hour. After how many minutes will the jet appear on the control tower’s radar? Explain the math
that justifies your answer.
TV Signal:
Suppose the signal from a television transmitter can be received up to 150 miles away. The following
points represent the locations of houses near the transmitter tower with the origin representing the
tower. Can each house receive the TV signal?
(120, 20) ________ (40, 140) ________ (105, 120) ________ (10, 148) ________