Answer:
7π square meter
Step-by-step explanation:
We will use the formula for the area of a sector of a circle which is given by:
[tex] Area = \frac { \theta } { 360 ^ { \circ } } \times \pi r^2 [/tex]
Where [tex]\theta[/tex] is the angle subtended by the sector at the center of the circle. Also, we know that in our case, [tex]\theta=60^{\circ}[/tex].
Substituting the given values in the formula to get:
[tex]A=\frac{60^{\circ}}{360^{\circ}}\times 42\pi =\frac{1}{6}\times 42 \pi =7 \pi[/tex]
Therefore, the correct answer is 7π square meter.
