The Area of sector is π cm². so option D is correct.
How to find the area of a sector of a circle?
The sector of a circle is like a slice of a circular pizza.
[tex]A = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]
Mathematically π radians = 180 degrees
thus, π /6 radians = 180/6 = 30 degrees
The formula for the length of an arc is;
Ф/360 x 2πr
where Ф, is 30 degrees
And the arc length is pi
so we have
30/360 x 2πr = π
30/360 x 2r = 1
60r = 360
r = 360/60
r = 6 cm
Now the area of a sector is;
Ф/360 x πr^2
30/360 x π36
= π cm^2
Learn more about area;
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