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The formula to find the area of a sector is:
Area = (θ/360) * π * r^2
Where:
- θ is the central angle in degrees
- r is the radius
Plugging in the values given:
Area = (67/360) * π * 12^2
Area = (0.186111) * π * 144
Area ≈ 0.186111 * 452.38934
Area ≈ 84.26
Therefore, the area of the sector with a central angle of 67 degrees and a radius of 12 is approximately 84.26.