Final answer:
The approximate area of sector PQR is 10.47 square inches.
Step-by-step explanation:
To find the area of the sector PQR, we first need to find the central angle of the sector. Since the measure of angle PQR is given as 75°, this is also the measure of the central angle.
We can use the formula for the area of a sector, which is given by A = (θ/360°) × πr², where θ is the measure of the central angle and r is the radius.
Substituting the values, A = (75°/360°) × 3.14 × 4² = 0.208 × 3.14 × 16 = 10.47 square inches.