The formula for finding the area of the unshaded segment is given as
Given the following parameters,
π = 3.14
θ = 80°
r = 5 cm
Substituting,
![\begin{gathered} A=((3.14*80)/(360)-\frac{\sin \text{ 80}}{2})*5^2 \\ =((251.2)/(360)-(0.9848)/(2))*25 \\ =(0.6978-0.4924)*25 \\ =0.2054*25 \\ =5.135\approx5.1\operatorname{cm}^2 \end{gathered}]()
To find the area of the shaded portion, we would subtract the area of the unshaded segment from the area of the circle.
Area of circle = πr²
![3.14*5^2=78.5\operatorname{cm}^2]()
Therefore,
The area of the shaded region = 78.5 - 5.1 = 73.4 cm²