Phasor diagram/problem []

[gills]

Homework Statement

An LC circuit includes a 0.025$$\mu$$F capacitor and a 340$$\mu$$H inductor.

(a)If the peak voltage on the capacitor is 190 V, what is the peak current in the inductor?

(b)how long after the voltage peak does the current peak occur?

The Attempt at a Solution

I've solved part (a) already and it is 1.60A

Part (b) is where I'm stuck, but it's probably a joke.

I've figured the angular frequency out and we can find the period from that -->

T = $$\frac{2\pi}{w}$$ = 1.83$$\mu$$s

However, since there is a 90 degree difference between peak voltage and current, and there are 360 degrees in a period, I'm just dividing the value of T i have by 4 to get the time to cover one quadrant. Is this the right approach or am i off?