Answer: The area of one sector is 22.6 sq. mm.
Step-by-step explanation: Given that a circle with radius 12 mm divided into 20 sectors of equal area.
We are to find the area of one sector to the nearest tenth.
The AREA of a circle with radius 'r' units is given by
[tex]A=\pi r^2.[/tex]
Here, the radius of the circle is
r = 12 mm.
Therefore, the area of the circle will be
[tex]A=\pi r^2=\dfrac{22}{7}\times (12)^2=\dfrac{22\times 144}{7}=452.57~\textup{sq. mm.}[/tex]
Since the whole circle is divided into 20 equal sectors.
So, the area of one sector is
[tex]A_s=\dfrac{1}{20}\times 452.57=22.62\sim 22.6~\textup{sq. mm.}[/tex]
Thus, the area of one sector is 22.6 sq. mm.
