Question

Find the area of the shaded sector. Leave your answer in terms of pi.

Answer 1

Answer:

18π ft^2

Step-by-step explanation:

Area of Sector = $\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the angle of the sector (in our case it is 45°), and

r is the radius (which is 12 ft)

So we plug these into the formula and get our answer to be:

$A=\frac{\theta}{360}*\pi r^2\\A=\frac{45}{360}*\pi (12)^2\\A=\frac{1}{8}\pi*144\\A=18\pi$

This is our answer: 18π

Answer 2

Answer:

   = 18 ft²

Step-by-step explanation:

The area of a sector is given by the formula;

Area = θ/360 × πr² ; where θ is the angle subtended by the arc to the center, r is the radius.

Therefore;

Area = 45/360 × π ×12²

        = 18 ft²