A shopper standing \( 3.00 \mathrm{~m} \) from a convex security mirror sees his image with a magnification of 0.200 . What is the mirror's radius of curvature?
a. \( 1.25 \mathrm{~m} \)
b. \( 1.50 \mathrm{~m} \)
c. \( 1.75 \mathrm{~m} \)
d. \( 2.00 \mathrm{~m} \)
e. \( 2.25 \mathrm{~m} \)