Answer:
Step-by-step explanation:
Area of shaded region = Area of rectangle - area of semi circle
Rectangle:
length = 11 cm
Width = diameter of circle = 4 + 4 = 8 cm
Area 1 = length * width
= 11 * 8
= 88 sq. cm
Circle:
radius = r = 4 cm
Area of semicircle = [tex]\dfrac{1}{2}\pi r^{2}\\[/tex]
[tex]=\dfrac{1}{2}*3.14*4*4\\\\= 25.12 \ cm^{2}[/tex]
Circumference of semicircle = [tex]\dfrac{2\pi r}{2}=\pi r[/tex]
= 3.14 * 4
= 12.56 cm
Area of the shaded region = 88 - 25.12 = 62.88 = 63 square cm
Perimeter of shaded region = 11 + 8 + 11 + circumference of semicircle
= 11 + 8 + 11 + 12.56
= 42.56
= 43 cm
