Solve the Problem $\frac { \pi } { 3 }$ Radian Determines a Sector of Area 93 Square Meters

Multiple Choice

Solve the problem.
-Find the radius of a circle in which a central angle of $\frac { \pi } { 3 }$ radian determines a sector of area 93 square meters. Round to the nearest hundredth.

A) $18.85 \mathrm {~m}$
B) $13.33 \mathrm {~m}$
C) $9.42 \mathrm {~m}$
D) $177.62 \mathrm {~m}$