9.3k views
5 votes
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!

I need help I'm very confused. I tried to complete it but, I got stuck. The diameter-example-1
User Smyrgl
by
7.1k points

1 Answer

2 votes
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
= 25
π

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

so

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

User Aron Lorincz
by
7.4k points