Answer:
- π/3 radians, 3600 English minutes
- π/6 radians, 333,333 1/3 French seconds
Step-by-step explanation:
An English minute is (1/60)(π/180) radian = π/10800 radian.
A French second is (1/100)(1/100)(π/200) radian = π/2000000 radian.
So, the ratio of angle sizes in common units will be ...
27(π/10800) : 2500(π/2000000) = (2/800) : (1/800) = 2 : 1
Since the total of these ratio units is 2+1 = 3, we need to divide the right angle into 3 parts. The English part will be 2 of those; the French part will be 1 of them. A 1/3 part of a right angle is π/6 radians, so the right angle division will be ...
English : French = π/3 radians : π/6 radians
= 3600 English minutes : 333,333 1/3 French seconds
= 27 : 2500
