What is the area of this composite figure
189.25 in2
228.5 in2
150 in2
78.5 in2
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Answer:
189.25 in²
Step-by-step explanation:
First, let us find the area of the rectangle.
Area = Length × Width
= 15 in × 10 in
= 150 in²
Then let us find the area of the semicircle.
Area = [tex]\frac{1}{2}[/tex] × π r²
= [tex]\frac{1}{2}[/tex] × 3.14 × 5 × 5
= 0.5 × 3.14 × 25
= 1.57 × 25
= 39.25 in²
Now let us find the total area of the composite figure.
Total area = Area of the rectangle + Area of the semi-circle.
= 150 in² + 39.25 in²
= 189.25 in²