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 a constant approximately equal to 3.14159
- r is the radius of the sector
Plugging in the given values:
Area = (67/360) x 3.14159 x 12^2
Area = (0.1861) x 3.14159 x 144
Area = 0.1861 x 452.3909
Area = 84.2108
Therefore, the area of the sector is approximately 84.21 square units.