Respuesta :

Answer:

[tex]A=6250\ feet^2[/tex]

Step-by-step explanation:

Given that,

The radius of circle, r = 50 feet

The central angle, [tex]\theta=5\ radian[/tex]

We need to find the area of the sector of a circle. The formula for the area of sector is given by :

[tex]A=\dfrac{1}{2}r^2\theta\\\\=\dfrac{1}{2}\times 50^2\times 5\\\\A=6250\ feet^2[/tex]

So, the area f the sector of the circle is [tex]6250\ feet^2[/tex].