The question, as posed, makes little sense. All that they would find is the points of intersection of the circles!
The question says nothing about the sizes of the circles - whether they are the same or whether they represent some measure of seismic transmissivity of the earth near (under) them.
Tangential circles.
Twice max.
When two circles intersect, they can create a maximum of 2 intersection points. Each straight line can intersect with each of the two circles at a maximum of 2 points, contributing 10 points from the lines and circles. Additionally, the five straight lines can intersect each other, yielding a maximum of ( \binom{5}{2} = 10 ) intersection points. Therefore, the total maximum points of intersection are ( 2 + 10 + 10 = 22 ).
32
It is difficult to say since there is no image and it is not clear what part is shaded. But, if there is a circle with a 12 metre diameter which contains two equal circles which are as large as possible, then the shaded area is probably 56.55 square metres.
Scientists can calculate the distance that an earthquake occurs from a seismometer station by looking at the record of the seismic waves and measuring the difference in time between the arrival of P and S-waves. This gives them a distance but not a direction. So they plot this distance on a map by drawing a circle round the seismometer station. The radius of this circle is equal to the distance to the epicentre. If this is done for one other seismometer station that has recorded the earthquake then the circles will intersect in two places. If you add in a 3rd station and so a third circle they will all intersect in one place - the epicentre of the earthquake. In reality this process is automated by computer and lots of readings from lots of stations are used.
Two stations each give out a circle. Those circles intersect at two places. When a third station is added, there are three circles. These three circles only intersect together at one place. That's where the precise earthquake location is.
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. 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.
If two circles intersect then they have to intersect at two points.
At least three seismic stations are needed to locate an earthquake's epicenter using the triangulation method. By measuring the time it takes for seismic waves to reach each station, scientists can pinpoint the epicenter where the three circles intersect.
Triangulation. First, they calculate the time between the first and second - primary and secondary - seismic waves created in an earthquake and use this information to determine how far the seismometer is from the epicenter of the earthquake. A circle is drawn around the seismometer so that it is in the center and the radius is equal to the calculated distance. Using this information from three different seismometers, two more circles are drawn and the intersecting point of the three circles is where the epicenter of the earthquake is located.
Tangential circles.
Tangent circles.
Tangential circles.
The name for the units scientists use for circles are degrees.
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