Answer: 6π
Step-by-step explanation:
Area of a circle is π r².
Area of a section of a circle is π r² × the section of the circle.
[tex]A=\pi r^2\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]
Given: r = 6, Ф = 60°
[tex]A=\pi (6)^2\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =\pi (6)^2\bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =6\pi[/tex]