how can i inscribe an angle 9 and 3/8 degrees in a circle of radius 2 cm?

Answer 1

It's a bit tricky, but you picked a good angle.

9 3/8 degrees is 1/8 of 75 degrees.
75 = 90-15.

Make a 60deg angle and bisect it twice. That will give you 15deg.

Subtract that from 90deg, and you will have 75deg.

Bisect that angle 3 times, and you will have 9 3/8 degrees.

*whew*