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. You may use the button to upload a picture of your work, or type it in the box.

Answer 1

The formula to find the area of a sector is:

Area = (θ/360) * π * r^2

Where:
- θ is the central angle in degrees
- r is the radius

Plugging in the values given:
Area = (67/360) * π * 12^2
Area = (0.186111) * π * 144
Area ≈ 0.186111 * 452.38934
Area ≈ 84.26

Therefore, the area of the sector with a central angle of 67 degrees and a radius of 12 is approximately 84.26.