What is the area of a sector with a central angle of 67 degrees and a radius of 12? Round to the nearest hundredth. Make sure to show all work.
To find the area of a sector, you can use the formula:
Area of sector = (θ/360) x π x radius^2
Where θ is the central angle in degrees and radius is the length of the radius of the sector.
Plugging in the values given:
Area of sector = (67/360) x π x 12^2
= (0.1861) x π x 144
≈ 66.97
Therefore, the area of the sector with a central angle of 67 degrees and a radius of 12 is approximately 66.97.