We have an angle of 1 ½° How big will it look through a
glass that magnifies things three times?
Answer:
one may think that the magnifying glass increases our angle to 1½° x 4 =
6°. But it is a great mistake. The magnifying glass cannot increase the
magnitude of the angle.
Yes, the arc measuring the angle increases, but then its
radius increases proportionally too. And ‘the result is that the magnitude of
the central angle remains unchanged.
It may be worth your while to make a practical experiment
with this.
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