A rectangle is placed around a semicircle as shown below. The width of the rectangle is 6mm . Find the area of the shaded region. Use the value 3.14 for , and do not round your answer.

Question

help please

Answer 1

|-------------------------- 6 MM ----------------------------|

So, the diameter of the semi-circle is 6 mm so the radius of the semi-circle would be 6/2 = 3 mm

The area of the semi-circle is

[3.14(3)²]/2

(3.14 x 9)/2

28.26 mm²/2

14.13 mm²

The area of the rectangle would be 6 mm x 3 mm = 18 mm²

To find the area of the blue shaded region, subtract the area of the semi-circle from the area of the rectangle.

18 - 14.16 = 3.84 mm²

So, the area of the blue shaded region is 3.84 square mm.