A triangle is placed in a semicircle with a radius of 4 mm, as shown below. Find the area of the shaded region. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

34.26 mm²

Step-by-step explanation:

To find the shaded region we must find the total area of the half-circle and then substract from it the area of the triangle

Let A be the area of the half circle

A = r²*π   where r is the radius

A = 4²π = 16π mm²

Let A' be the area of the triangle

A' = (b*h)/2   where b and h are respectively the base and the the height

A'= (8*4)/2 = 16

Let A" be the area of the shaded region

A" = A-A'

A" = 16π -16 = 34.26 mm²

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step-by-step explanation:

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