What is the area of a sector with a central angle of 5π6 radians and a radius of 5.6 ft? Use 3.14 for π and round your final answer to the nearest hundredth.

Respuesta :

Answer:

41.03 square feet

Step-by-step explanation:

The area of a sector is given by the formula:

[tex]A=\frac{1}{2}r^2\theta[/tex]

Where A is the area, r is the radius and [tex]\theta[/tex] is the angle in radians.

Given the values, we plug into the formula and solve:

[tex]A=\frac{1}{2}r^2\theta\\A=\frac{1}{2}(5.6)^2(\frac{5\pi}{6})\\A=41.03[/tex]