Given:
Radius of circle, r = 2 cm
Central angle, θ = 140 degrees
Let's find the area of the shaded region.
To find the area of the shaded region apply the formula:
[tex]A=\frac{\theta}{360}*\pi r^2[/tex]
Where:
θ is the central angle = 140 degrees
r is the radius = 2 cm
Thus, we have:
[tex]\begin{gathered} A=\frac{140}{360}*\pi *2^2 \\ \\ A=0.389*\pi *4 \\ \\ A=1.6\pi\text{ cm}^2 \end{gathered}[/tex]
Therefore, the area of the shaded region in terms of π is 1.6π cm².
ANSWER:
1.6π cm²
