What is the area of the shaded sector?

= 72*pi

If we approximate pi

           = 226.08

Step-by-step explanation:

The area of the entire circle is

A = pi * r^2

where r = 24

A = pi * 24^2

A = pi *576

45 degrees is part of a 360 degree circle

45/360  =1/8

Multiply the area by 1/8  since it is 1/8 of the circle

1/8 A = 1/8 * 576pi

         = 72*pi

If we approximate pi

           = 226.08

see explanation

Step-by-step explanation:

area of sector = area of circle × fraction of circle

                       = π × 24² ×

                      = π × 576 × = 72π units² ← exact value

area of sector = 72π units² ≈ 226.2 units² ( 1 dec. place )