Answer:
Central angle = 126°
Step-by-step explanation:
Area of the sector = 140π cm²
Radius of the given circle = 20 cm
Since area of the sector = [tex]\frac{\theta}{360}\times (\pi r^{2})[/tex]
[where θ is the central angle formed by the sector at the center]
140π = [tex]\frac{\theta}{360}(\pi)(20)^{2}[/tex]
θ = [tex]\frac{(140\pi)\times 360}{400\pi }[/tex]
θ = 126°
Therefore, central angle of the sector will be 126°.
