find the area of the sector of the disk of radius r=16 and with arc length s=16

To find the area of the sector of a disk, you need to know the radius of the disk (r) and the arc length of the sector (s). In this case, the radius (r) is given as 16 and the arc length (s) is also given as 16.

The formula to calculate the area of the sector of a disk is given by:

Area = (θ/360) * π * r^2

where θ is the central angle in degrees.

To find θ, we can use the formula:

θ = (s/r) * 360

Substituting the given values:

θ = (16/16) * 360 = 360 degrees

Now we can substitute the values of θ and r into the area formula:

Area = (360/360) * π * 16^2
= 1 * π * 16^2
= π * 16^2
= π * 256
= 256π

Therefore, the area of the sector of the disk is 256π square units.