Answer:
18π ft2
Step-by-step explanation:
The circle has a radius of 12 ft and the angle of the sector is 45°.
Area of the sector (A) is given by the formula below:
[tex]A=\frac{\theta}{360}* \pi r^2[/tex]
Where [tex]\theta[/tex] is the angle of the sector and r is the radius of the circle
We know r = 12 and [tex]\theta[/tex] = 45°
Plugging these into the formula and simplifying, we get:
[tex]A=\frac{\theta}{360}* \pi r^2\\A=\frac{45}{360}* \pi (12)^2\\A=\frac{1}{8}* \pi (144)\\A=18 \pi[/tex]
Thus, the area is [tex]18 \pi[/tex] sq. ft.
