Solve the Problem $\frac { \pi } { 3 }$ Radian Determines a Sector of Area 56 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 56 square meters. Round to the nearest hundredth.

A) $10.34 \mathrm {~m}$
B) $14.63 \mathrm {~m}$
C) $7.31 \mathrm {~m}$
D) $106.95 \mathrm {~m}$