Answer:
Step-by-step explanation:
When we add the area of semicircle I and III of same radius, we get a cirlce.
diameter = 48 cm
r = 48/2 = 24 cm
Area of I and III = area of circle
= πr²
= 3.14 * 24 *24
= 1808.6 cm²
Figure II:
length = diameter of the bigger semicircle = 48 cm
width = diameter of the smaller circle = 14 cm
Area of rectangle (figure II) = length *width
= 48 * 14
= 672 cm²
Smaller semicircle A & B
diameter = 14 cm
r = 14/2 = 7 cm
Area of Semicircle A & B = Area of a circle
[tex]\sf = \dfrac{22}{7}*7*7\\\\ = 22*7\\\\= 154 \ cm^{2}[/tex]
Area of shaded region = area of rectangle II + area of figure I & III - area of A &B
= 672 + 1808.6 - 154
= 2326.6cm²
