A circle with radius of \greenD{3\,\text{cm}}3cmstart color #1fab54, 3, start text, c, m, end text, end color #1fab54 sits inside a \blueD{8\,\text{cm} \times 7\,\text{cm}}8cm×7cmstart color #11accd, 8, start text, c, m, end text, times, 7, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Step 1: Finding the area of the circle with radius 7 cm
Area of the circle A = Pir^2
On substituting the value of the radius, we get
Area of the circle A =Pi(7)^2
Area of the circle A =49Pi square centimetre

Step 2: Finding the area of the circle with radius 3 cm
Area of the circle a =Pir^2
On substituting the value of the radius, we get
Area of the circle a =Pi(3)^2
Area of the circle a =9Pi square centimetre

Step 3: Finding the area of the shaded region
Area of the shaded region =49Pi-9Pi=40Pi = 125.664 square centimetre.

Answer: The area of the shaded region is 125.664 square centimetre.