Answer:
12.5π +80 ≈ 119.27 cm²
Explanation:
You want the area of a figure composed of a rectangle and a semicircle.
Semicircle
The area of a circle is given by the formula ...
A = πr² . . . . . . where r is the radius, half the diameter
The area of the semicircle is half that. For the given diameter of 10 cm, the area of the semicircle is ...
A = (1/2)π(10 cm/2)² = 25/2π cm² ≈ 39.27 cm²
Rectangle
The area of the rectangle is the product of its length and width:
A = LW
A = (10 cm)(8 cm) = 80 cm²
Total area
The area of the composite figure is the sum of these areas:
total area = semicircle area + rectangle area
total area = 39.27 cm² + 80 cm² = 119.27 cm²
The area of the composite figure is about 119.27 cm².
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