Help!! what is the area of the sector shown in the diagram below?
![Help what is the area of the sector shown in the diagram below class=](https://us-static.z-dn.net/files/dc4/2a6ce71205ee44bb9c5b04db661249a1.png)
Option B
The area of sector is 34.2 square centimeter
Solution:
We have to find the area of sector
From given figure in question
Radius = 14 cm
central angle = 20 degrees
The area of sector when angle is given in degrees is given as:
[tex]A=\frac{\theta}{360} \times \pi r^{2}[/tex]
Where, "r" is the radius and [tex]\pi = 3.14[/tex]
Substituting the given values,
[tex]A = \frac{20}{360} \times 3.14 \times (14)^2\\\\A = \frac{1}{18} \times 3.14 \times 196\\\\A = \frac{615.44}{18}\\\\A = 34.19 \approx 34.2[/tex]
Thus area of sector is 34.2 square centimeter