I just learned the character 丸 and naturally noticed that it is similar to 九 with the additional 点.
Is there any interesting connection between these two characters or is it just a random coincidence ?
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「九」 and 「丸」 are not related. As @user3306356 points out, 「丸」 is probably related to 「夗」.
「九」 depicts an arm showing the hand, a bent wrist, and elbow, indicating the original meaning elbow. This word is now written as 「肘」 (Baxter-Sagart OC: /*t-[k]<r>uʔ/).
The meaning nine (/*[k]uʔ/) for 「九」 is a phonetic loan.
「丸」 is derived from 「夗」.
「夗」 (/*[ʔ]o[r]ʔ/) was originally a picture of an animal or person curled up in a foetal position, extended to mean twisting and turning in bed and then crooked, winding (now written 「宛」).
「夗」 or its derivatives later started being used for different senses. 「丸」 (/*[ɢ]ʷˤar/) was corrupted from 「夗」 to specifically represent the sense curl up and roll > ball, round object.
The glyph evolution and corruption process is as follows: