Conceptual question about Faraday's Law

[xcvxcvvc]

Homework Statement

A solenoid has 10 turns/cm and carries a 4-A current. A circular loop with 5 turns of area i cm^2 lies within the solenoid with its axis at 37 degrees to the axis of the solenoid. Find the magnitude of the average induced emf if the current increases by 25% in .1 seconds.

I got the right answer, but something makes me a little uncomfortable: how come the solenoid's area is not given, and why is it not relevant to the solution? Shouldn't the flux through the loop depend on the ratio of (area of loop) * cos(37) /(area of solenoid)?

 

[ApexOfDE]

Because inside solenoid, the magnetic field is radially uniform.

 

[xcvxcvvc]

I get it. Thanks.