The formula for finding the area of a sector of a circle is A = (θ/360)πr^2, where θ is the central angle in degrees and r is the radius of the circle. Substituting the given values into the formula, we get A = (67/360)π(12)^2. Simplifying this expression gives us an area of approximately 141.11 square units. Therefore, the area of the sector with a central angle of 67 degrees and a radius of 12 is approximately 141.11 square units when rounded to the nearest hundredth.
