Answer:
perimeter of the shaded region = 88 +44+28 =160 cm
Step-by-step explanation:
perimeter of shaded region = length AO + arc OB + arc AB
length AO = radius of bigger circle
radius of bigger circle = OX + OB = 2×radius of smaller circle = 2×14 cm = 28 cm
therefore AO = 28 cm
length of arc oB= half of circumference of smaller circle = [tex]\pi[/tex]×14 = 44 cm
length of arc ab = half of circumference of bigger circle = [tex]\pi[/tex]×28 =[tex]\frac{22}{7}[/tex]×28= 88
therefore perimeter of the shaded region = 88 +44+28 =160 cm
area of the shaded region = half of area of bigger circle - half of area of smaller circle
=[tex]\frac{1}{2} \pi 28^{2} -\frac{1}{2} \pi 14^{2}[/tex]
=[tex]\frac{\pi }{2} (28^{2} -14^{2} )[/tex]
solving we gen area of shaded region = 924
