The answer is 24 root 3 or 41.56921938.
-4x +12 -12 = -4 -12
-4x = -16
x = 4
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 =
×14 = 44 cm
length of arc ab = half of circumference of bigger circle =
×28 =
×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
=![\frac{1}{2} \pi 28^{2} -\frac{1}{2} \pi 14^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Cpi%2028%5E%7B2%7D%20-%5Cfrac%7B1%7D%7B2%7D%20%5Cpi%2014%5E%7B2%7D)
=![\frac{\pi }{2} (28^{2} -14^{2} )](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%2828%5E%7B2%7D%20-14%5E%7B2%7D%20%29)
solving we gen area of shaded region = 924
A) 13
b) 16
c) 2
d) 13
e) 11