Answer: 211 in²
Explanation:
To find the area of the shaded region, you want to find the area of the rectangle, then subtract the area of the circle and the triangle. First, we need to find the area of the triangle. We know that there is a circle because 2 halves make a full circle.
Area of Circle
A=πr²
A=π(6)² [exponent]
A=36π [multiply]
A=113
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Area of Triangle
A=bh/2
A=(18)(12)/2 [multiply]
A=216/2 [divide]
A=108
Now that we have the area of the shapes, let's find the area of the entire rectangle.
A=lw
A=(36)(12) [multiply]
A=432
With the area of the rectangle, we can subtract the areas.
432-108-113=211
The area of the shaded region is 211 in².