Answer:
97 cm²
Step-by-step explanation:
The complete question is attached.
The circle has a diameter of 12 m. The radius of the circle = diameter/2 = 12/2 = 6 cm.
The area of the circle = πr² = π × 6² = 113 cm²
To find the area of the shaded portion we have to find the area of sector and subtract it from the circle area.
The angle of the sector (θ) = 360 - 310 = 50°
[tex]Area\ of\ the\ sector=\frac{\theta}{360} *\pi r^2=\frac{50}{350}*\pi*6^2=16\ cm^2[/tex]
Area of shaded portion = Area of circle - Area of of sector = 113 - 16 = 97 cm²
