Find a polynomial for the sum of the shaded
areas of the figure. a = 6, b = 4

The polynomial for the sum of the shaded   r² - 20

Step-by-step explanation:

Given as :

The figure is shown which is of concentric circle with radius B , A , r

The radius B = 4 unit

The radius A = 6 unit

Let The sum of shaded portion = x unit

Now, The circumference of circle = 2 R , where R is the radius

So, for circle with radius B.

The circumference = 2 R = 2 B

Or, The circumference = 2 × 4 = 8

Similarly

For circle with radius A.

The circumference = 2 R = 2 A

Or, The circumference = 2 × 6 = 12

Now, The area of circle with radius r is

Area = ×radius × radius

Or, Area = r²

Now,

The sum of shaded region area = The area of circle with radius r - ( The circumference with radius B + The circumference with radius A )

Or, The sum of shaded region area =   r² - ( 8 + 12 )

Or,  The sum of shaded region area =   r² - 20

Hence The polynomial for the sum of the shaded area is r² - 20  Answer

10 you would take 50/ .2

step-by-step explanation: