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It takes three seismographs to locate an earthquake. Scientists use a method called triangulation to determine exactly where the earthquake occurred. If a circle is drawn on a map around three different seismographs where the radius of each is the distance from that station to the earthquake, the intersection of those three circles is the epicenter.
If the tsunami is the result of an earthquake, then scientists take three locations that the earthquake hit. They find a radius by finding out how long it took for P waves and S waves to hit the land. Once they've drawn circles, calculated by the radius, around all three locations there is an epicenter. This is where all three circles intersect. They then have seismographs that show the damage of the earthquake by a Moment Magnitude Scale. Then they predict that a tsunami will follow shortly after and they warn the countries in danger.
It is a set of imaginary lines on the surface of the Earth which parallel to the equator. They go from 90 degrees N, at the North Pole, to 0 degrees at the equator, to 90 deg S at the South Pole.
To locate an earthquake, you need the data from at least three seismometer stations.The process is known as triangulation and is described in more detail below.The seismometer records the P and S-wave arrival times. P-waves travel faster through the earth than S-waves and so they arrive at the seismometer station before the S-waves and are recorded by the seismometer first.The difference in arrival time between the two types of seismic wave can be used to calculate the distance of the earthquake's epicentre from the seismometer (the equation to do this can be seen at the bottom of this answer).This can then be plotted on a map, by drawing a circle with a radius equal to the distance to the epicentre around the seismometer station. This is then repeated for the other two seismometer stations and the point where the three circles intersect is the location of the earthquakes epicentre.The above procedure is commonly automated using computers and numerical techniques so that a large number of differing seismic episodes can be processed efficiently.It should be noted that this is an imperfect process as a number of assumptions must be made about the material through which the seismic waves travel in order to estimate their speed.DE = DeltaT x (VP - VS) / (VS x VP)Where:DE = Distance to epicentre (km)DeltaT = Difference between P and S-wave arrival time (s)VP = P-wave velocity (km/s)VS = S-wave velocity (km/s)
Venn Diagram
If two circles intersect then they have to intersect at two points.
Twice max.
Tangential circles.
It takes three seismographs to locate an earthquake. Scientists use a method called triangulation to determine exactly where the earthquake occurred. If a circle is drawn on a map around three different seismographs where the radius of each is the distance from that station to the earthquake, the intersection of those three circles is the epicenter.
Tangent circles.
Tangential circles.
Circle A only: 9, 27, 45, 63, 81, 99, 117 Circle B only: No numbers Circle C only: 21, 42, 84, 105 Circles A and B intersect: 18, 36, 54, 72, 90, 108 Circles B and C intersect: No numbers. Circles A and C intersect: 63 Circles A, B and C intersect: 126
2 circles that intersect each other
Three seismograph stations are needed to determine the location of an epicenter because each seismograph can determine distance to the epicenter but not direction. The point where the three circles intersect is the epicenter of the earthquake. +++ Focus - not epicentre, which is the point of maximum movement on the surface above the slip itself.
Geologists use circles to find the epicenter of an earthquake.
Draw your Venn Diagram as three overlapping circles. Each circle is a set. The union of the sets is what's contained within all 3 circles, making sure not to count the overlapping portion twice. An easier problem is when you have 2 sets, lets say A and B. In a Venn Diagram that looks like 2 overlapping circles. A union B = A + B - (A intersect B) A intersect B is the region that both circles have in common. You subtract that because it has already been included when you added circle A, so you don't want to add that Again with circle B, thus you subtract after adding B. With three sets, A, B, C A union B union C = A + B - (A intersect B) + C - (A intersect C) - (B intersect C) + (A intersect B intersect C) You have to add the middle region (A intersect B intersect C) back because when you subtract A intersect C and B intersect C you are actually subtracting the very middle region Twice, and that's not accurate. This would be easier to explain if we could actually draw circles.
Yes, that is correct. Circles circumscribed about a given triangle will have centers that are equal to the incenter, which is the point where the angle bisectors of the triangle intersect. However, the radii of these circles can vary depending on the triangle's size and shape.