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A seismograph measures ground motion during an earthquake. To find the epicenter of an earthquake, scientists take readings in three different locations. Then they draw a circle centered at each location. The radius of each circle is the distance the earthquake is from the seismograph. The intersection of the circles is the epicenter. Use the data below to find the epicenter of the New Madrid earthquake.
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A seismograph measures ground motion during an earthquake. To find the epicenter of an earthquake, scientists take readings in three different locations. Then they draw a circle centered at each location. The radius of each circle is the distance the earthquake is from the seismograph. The intersection of the circles is the epicenter. Use the data below to find the epicenter of the New Madrid earthquake. (IMAGE CAN'T COPY).

Geometry

Circles

Circles in the Coordinate Plane

Solve each problem. To visualize the situation, use graph paper and a pair of compasses to carefully draw the graphs of the circles.
The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: $(x-2)^{2}+(y-4)^{2}=25$ $(x-1)^{2}+(y+3)^{2}=25,$ and $(x+3)^{2}+(y+6)^{2}=100 .$ Determine the location of the epicenter.

Solve each problem. To visualize the situation, use graph paper and a pair of compasses to carefully draw the graphs of the circles. The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: $(x-2)^{2}+(y-4)^{2}=25$ $(x-1)^{2}+(y+3)^{2}=25,$ and $(x+3)^{2}+(y+6)^{2}=100 .$ Determine the location of the epicenter.

Precalculus Student Solutions Manual 5th

Graphs and Functions

Circles

Solve each problem. To visualize the situation, use graph paper and a pair of compasses to carefully draw the graphs of the circles.
The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: $(x-2)^{2}+(y-1)^{2}=25$ $(x+2)^{2}+(y-2)^{2}=16,$ and $(x-1)^{2}+(y+2)^{2}=9 .$ Determine the location of the epicenter.

Solve each problem. To visualize the situation, use graph paper and a pair of compasses to carefully draw the graphs of the circles. The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: $(x-2)^{2}+(y-1)^{2}=25$ $(x+2)^{2}+(y-2)^{2}=16,$ and $(x-1)^{2}+(y+2)^{2}=9 .$ Determine the location of the epicenter.

Precalculus Student Solutions Manual 5th

Graphs and Functions

Circles

Questions asked

INSTANT ANSWER

10:00 AM What's In In Grade 8, you were taught that the epicenter of the earthquake is directly above the focus. What's New The epicenter is directly located above the hypocenter or focus. To determine the epicenter of an earthquake, seismologists use the triangulation method. This method uses recorded seismic activities in at least three seismic stations as the basis for finding the probable location of the earthquake epicenter. Activity 3.1 - Triangulation Method Objective: Visualize the triangulation method in locating the epicenter of an earthquake. Procedure: 1. Study the circles on the right. 2. Measure the radius of each circle in \( \mathrm{cm} \). Write your measurement in the circle sheet of paper. 3. The circumference of the circles represents the possible location of the earthquake's epicenter to the station. 16 City of Good Character DISCIPLINE • GOOD TASTE • EXCELLENCE a. Which station is farthest from the earthquake? 4. Color the circles using different shades. Take a closer look at the colored areas that are overlapping. b. At what point do the three earthquakes overlap? What does it indicate? 5. This simple activity shows the triangulation method. Based on your answers to the above questions, describe the triangulation method? What Is It You studied in the previous lesson that occurrences of earthquakes edges of plates are part of scientific evidence supporting that the lithospl divided into plates. In this lesson, you will focus on locating the epicenter earthquakes in the country, since there were occurrences of earthquakes ah. every day. The Philippine Institute of Volcanology and Seismology or PHIVOLCS is the government agency responsible for providing us with knowledge about earthquakes. Part of the information that they share with the pubic is the epicenter of the earthquake when earthquaikes occur. Seismoll evaluate the seismic seismograph during an earthquake. These seismic waves are shakings that started from the focus and move throughout the earth in every direction and transport the

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INSTANT ANSWER

What's New The epicenter is directly located above the hypocenter or focus. To determine the epicenter of an earthquake, seismologists use the triangulation method. This method uses recorded seismic activities in at least three seismic stations as the basis for finding the probable location of the earthquake epicenter. Activity 3.1 - Triangulation Method Objective: Visualize the triangulation method in locating the epicenter of an earthquake. Procedure: 1. Study the circles on the right. 2. Measure the radius of each circle in \( \mathrm{cm} \). Write your measurement in the circle above the radius. Do this on a separate sheet of paper. 3. The circumference of the circles represents the possible location of the earthquake's epicenter to the station. City of Good Character 16 DISCIPLINE • GOOD TASTE • EXCELLENCE

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INSTANT ANSWER

What's New The epicenter is directly located above the hypocenter or focus. To determine the epicenter of an earthquake, seismologists use the triangulation method. This method uses recorded seismic activities in at least three seismic stations as the basis for finding the probable location of the earthquake epicenter. Activity \( 3.1 \) - Triangulation Method Objective: Visualize the triangulation method in locating the epicenter of an earthquake. Procedure: 1. Study the circles on the right. 2. Measure the radius of each circle in \( \mathrm{cm} \). Write your measurement in the circle above the radius. Do this on a separate sheet of paper. 3. The circumference of the circles represents the possible location of the earthquake's epicenter to the station.

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