haven't had luck with this question in the past and I need help.

Answer:
pi
Step-by-step explanation:
First find the area of a full circle with radius 2
A = pi r^2
A = pi 2^2
A = 4 pi
We know that this is 1/4 of a circle so take 1/4 of the area
1/4 A = 1/4 (4 pi) = pi