Final answer:
The area of the sector is approximately 8.0 square inches.
Step-by-step explanation:
To calculate the area of a sector, we can use the formula:
A = (θ/360) * π * r²
where A is the area, θ is the central angle, π is pi, and r is the radius.
In this case, the central angle is 20° and the radius is 12 inches. Plugging these values into the formula:
A = (20/360) * 3.14 * 12²
A = (1/18) * 3.14 * 144
A ≈ 7.96
Rounded to the nearest tenth, the area of the sector is approximately 8.0 square inches.