what is the area of a sector with a central angle of 67 degrees and a radius of 12
To calculate the area of a sector, you need to use the formula:
Area of sector = (θ/360) * π * r^2
Where:
- θ is the central angle in degrees
- r is the radius of the sector
Plugging in the values:
θ = 67 degrees
r = 12
Area of sector = (67/360) * π * 12^2
Area of sector = (0.1861) * π * 144
Area of sector ≈ 66.68 square units
Therefore, the area of the sector with a central angle of 67 degrees and a radius of 12 is approximately 66.68 square units.