Question

Please someone help, it will be great if you do

Answer 1

We will get shaded area when we subtract rectangle area from semicircle area.

Rectangle area is   Ar=a*b=16*6= 96 cm∧2

Semicircle area is  Asc= (r∧2 pi)/2

First we must find radius.

We know that the center of the semicircle ( or circle) is in the middle of the longer side of the rectangle.

Now we can find radius with Pythagorean theorem

r= √8∧2+6∧2= √64+36 =√100= 10cm => r= 10 cm

Asc=(10∧2 * pi)/2 = 50 pi cm∧2  

Shaded area is Asc - Ar = 50pi - 96 = 2 (25pi-48) cm∧2

Good luck!!!

Answer 2

The Rectangle has Dimensions  16 cm. By  6 cm.

Work Out  Shaded Area:

Give Answer In Terms of pi:

C    =    pi D

A      =    pi r^2

Area of Rectangle

16   *    6    

=     96 cm^2

So, radius of Circle is Hypothenuse of Tri-Angle:

6^2     +     8^2

36     +     64

=     100

sqrt 100       =       10

Radius of Circle:

=      10 cm

A   =      pi   *   10^2/2  

=     50 pi

Shaded Area:

=      50 pi     -    96

=     61.0796327

Inside of the Square  ====>  6 ==>  6  on both sides

Inside of square  ====>   half  right  =====>  10    diagonal 7      

Outside of Diagram  =====>  bottom   left ====>   8    ===>  Btm. Right ==> 8

Hope that helps!!!                                      : )