Answer:
Area of circle = 9π
Step-by-step explanation:
Area of sector = [tex]\frac{1}{2} \pi[/tex]
Its central angle = [tex]\frac{1}{9}\pi \text{ radians}[/tex]
[tex]\text{Area of sector} = \dfrac{\text{Central angle}}{2\pi} \times\text{Area of circle}[/tex]
[tex]\text{Area of circle} = \text{Area of sector}\times\dfrac{2\pi}{\text{Central angle}}[/tex]
[tex]A = \dfrac{1}{2}\pi\times\dfrac{2\pi}{\frac{1}{9}\pi} = 9\pi[/tex]
