A3cm x 2cm rectangle sits inside a circle with radius of 4 cm. what is the area of the shaded region? round your final answer to the nearest hundredth.

The area of the shaded region is

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

step 1

Find the area of circle

The area of the circle is equal to

we have

substitute

step 2

Find the area of rectangle

The area of rectangle is equal to

step 3

Find the difference

assume