Answer:
25,886 in²
Step-by-step explanation:
The given figure shows 2 circles centered at the same point. We need to find the area of the shaded region. If we observe carefully, the area in between two circles is the shaded region. So if we subtract the Area of smaller circle from the Area of larger circle we can calculate the Area of the shaded region.
Area of a circle = πr²
Radius of larger circle = OP = OQ = 93.4 inches
Radius of smaller circle = OR = OQ - RQ = 93.4 - 71.5 = 21.9 inches
Therefore, area of shaded region will be:
Area of Shaded Region = Area of larger circle - Area of smaller circle
Area of Shaded Region = π(93.4)² - π(21.9)²= 25,886 in²
Thus, the area of shaded region, rounded to nearest inch will be 25,886 in²
