Area of Irregular Shapes
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Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.
semi circle 4 length is 14
To find the area of the figure, we need to find the individual areas of the rectangle and the semicircle and then add them together.
First, find the area of the rectangle:
Area of a rectangle = length x width
Area of rectangle = 14 x 4 = 56 square units
Next, find the area of the semicircle (half of a circle):
Area of a circle = πr^2
Area of semicircle = (1/2) x π x 4^2 = 8π square units
Now, add the areas of the rectangle and the semicircle together:
Total area = rectangle area + semicircle area
Total area = 56 + 8π
Approximating the value of π to 3.14, we get:
Total area ≈ 56 + 8 x 3.14 ≈ 56 + 25.12 ≈ 81.12 square units
Therefore, the area of the figure is approximately 81.1 square units.