Final answer:
The area of the sector bounded by a 100° arc on a circle with a radius of 6 inches is approximately 31.5 square inches.
Step-by-step explanation:
To find the area of a sector, we need to use the formula A = (θ/360) * π * r^2, where θ is the central angle in degrees and r is the radius of the circle.
In this case, the radius is 6 inches and the angle is 100°. Substituting these values into the formula:
A = (100/360) * 3.14 * 6^2 = 0.2778 * 3.14 * 36 = 31.5424 square inches.
Rounding to the nearest tenth, the area of the sector bounded by the 100° arc is approximately 31.5 square inches.