- #1

Ragnarok7

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**If the circumference of a circle be divided into 5 parts, which are in A.P., and if the greatest part be 6 times the least, find in radians the magnitudes of the angles that the parts subtend at the centre of the circle.**

The answers are given as \(\displaystyle \frac{4\pi}{35},\frac{9\pi}{35},\frac{14\pi}{35}, \frac{19\pi}{35},\frac{24\pi}{35}\) radians.

The trouble is that I have no idea what is meant by "5 parts, which are in A.P.". There is no diagram and the only reference to points A and P I can find is in a much earlier diagram, where AP is an arc subtending an angle of one radian. Does anyone have any ideas, based on the specifications of the problem? Thank you!