Question

Divide of a right angle into two parts such that the number of English minutes in one to the

number of French seconds in the other part as 27 : 2500.​

Answer 1

• π/3 radians, 3600 English minutes
• π/6 radians, 333,333 1/3 French seconds

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