Question

I need help I'm very confused. I tried to complete it but, I got stuck.


The diameter of the semicircle is 58 . The radius of each small circle is 5 .
What is the exact area of the shaded region in the figure below? Do NOT round at any point!

Answer 1

Area of semi-circle (d = 58 so r = 29)
= 1/2 π (29)^2 
= 420.5π

Area of small circle: (r = 5)
= π (5)^2 
= 25π

there are 3 small circles = 3 x 25π = 75π

so

Area of shaded : 420.5π - 75π  = 345.5 π