Wiki User
∙ 11y agoThe 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.
Wiki User
∙ 11y agoTangential circles.
Twice max.
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.
The question, as posted, cannot be answered because the questioner has failed to provide enough information. I suspect the question concerns two circles, each with radius 16 mm, whose centres are at N and O. The circles intersect at P and Q.If that is the question, then the chord PQ is 25.4 mm long.
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.
To find an earthquake's epicenter, seismologists use data from three or more seismograph stations to triangulate the location. By analyzing the arrival times of seismic waves at different stations, they can determine the distance to the epicenter from each station. The point where the circles representing the distances intersect is the earthquake's epicenter.
Tangential circles.
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
To determine an earthquake's epicenter, seismologists typically need data from at least three seismic stations. By comparing the arrival times of the seismic waves at each station, they can triangulate the epicenter's location. Additional seismic stations can improve accuracy.
The name for the units scientists use for circles are degrees.