Answer:
The area of the sector is [tex]180\pi \ cm^2[/tex].
Step-by-step explanation:
We have,
Radius of circle is 15 cm
Central angle is [tex]\dfrac{8\pi}{5}\ \text{radian}[/tex]
It is required to find the area of the sector. The formula used to find the area of sector is given by :
[tex]A=\dfrac{1}{2}r^2\theta[/tex]
Plugging all the values in above formula as :
[tex]A=\dfrac{1}{2}\times 15^2\times \dfrac{8\pi}{5}\\A=180\pi \ cm^2[/tex]
So, the area of the sector is [tex]180\pi \ cm^2[/tex].
