9514 1404 393
Answer:
14.09 square units
Explanation:
The desired area is the area of the full circle, multiplied by the fraction that is shaded. That fraction is the ratio of the sector central angle to the central angle for a whole circle: 42°/360°.
A = πr²(d/360)
A = 3.14159(6.2²)(42/360) ≈ 14.09
The area of the shaded sector is about 14.09 square units.