What is the area of a sector with a central angle of 67 degrees and a radius of 12? Round to the nearest hundredth.
To find the area of a sector, you can use the formula:
Area = (θ/360) x π x r^2
where θ is the central angle in degrees, π is approximately equal to 3.14159, and r is the radius of the sector.
Plugging in the values given:
Area = (67/360) x π x 12^2
Area = (0.1861) x 3.14159 x 144
Area ≈ 66.89
Thus, the area of the sector is approximately 66.89 square units.