With a ruler
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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.
How can a circle measure 180 degrees? Circles don't have any angles!
Yes because they can be measured mathematically. But free form shapes can't for instance you can't measure a pare using i ruler. But you can measure a square with a ruler.
Pi has undoubtedly contributed to math. Pi can be used for calculating circles and was used to measure distances without doing it the harder way....
Yes. The circles can be of different size. These are called concentric circles.