Question 132630
From your gram, it looks like

the shaded small half circle on the right has

the same size as the small blank half circle on the left.

That means, the whole shaded area is actually half of

the big circle.

The area of a circle is  {{{pi*r^2}}}

half of it is {{{1/2*pi*r^2}}}


What is r then?



The diameter of the small circle is the radius of big circle,

so r=8

Now plug in r, we get

Area = {{{1/2*3.14*8^2}}}

= 100.5
The answer is 100.5