Two Sides of a Triangle Are $2 \mathrm {~m}$ And $3 \mathrm {~m}$

Multiple Choice

Two sides of a triangle are $2 \mathrm {~m}$ and $3 \mathrm {~m}$ in length and the angle between them is increasing at a rate of $0.06 \mathrm { rad } / \mathrm { s }$ . Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is $\frac { \pi } { 3 }$ .

A) $1.145 \mathrm {~m} ^ { 2 } / \mathrm { s }$
B) $- 0.955 \mathrm {~m} ^ { 2 } / \mathrm { s }$
C) $0.090 \mathrm {~m} ^ { 2 } / \mathrm { s }$
D) $5.045 \mathrm {~m} ^ { 2 } / \mathrm { s }$
E) $- 1.955 \mathrm {~m} ^ { 2 } / \mathrm { s }$