Respuesta :
Answer:
\dfrac{3}{2}\pi = \green{A_s}
2
3
π=A
s
Step-by-step explanation:
The area of the sector of the circle which has the length of radius 3 and the sector with a central angle π/9 is 1.57 unit².
What is the area of a circular sector?
The area of a circular sector is the total space occupied by it. The sector area is half of the product of the square of radius of the circle and the central angle.
It can be calculated as,
[tex]A_{sector}=\dfrac{r^2\theta}{2}[/tex]
Here, (r) is the radius of the circle and (θ) is the central angle.
The radius of the given circle is 3 units long and the central angle is equal to π/9 radians. Put the values in the above formula,
[tex]A_{sector}=\dfrac{3^2\times\dfrac{\pi}{9}}{2}\\A_{sector}=\dfrac{3^2\times\dfrac{\pi}{9}}{2}\\A_{sector}=\dfrac{\pi}{2}\\A_{sector}=1.57\rm unit^2[/tex]
Thus, the area of the sector of the circle which has the length of radius 3 and the sector with a central angle π/9 is 1.57 unit².
Learn more about the area of a circular sector here;
https://brainly.com/question/1283563
