## yociyoci 4 years ago Find the shaded region, which UV=VW=WX=XY=XZ=10 cm

1. vishal_kothari

diagram?

2. yociyoci

|dw:1327117815897:dw|

3. GT

Assuming they are ALL semi-circles.......you can compute areas of those semi-circles and add/subtract the right amounts.

4. MrYantho

Well done. I didn't even think they were semi-circles. Area = BigSemi + 3(small-semis) $A=((\pi)r ^{2})/2 + 3(((\pi)r ^{2})/2)$ $A=((\pi)(50) ^{2})/2 + 3(((\pi)(10) ^{2})/2)$

5. yociyoci

312.5pi+12.5*3-12.5*2 =312.5pi+12.5 Is it like this or is it wrong?

6. MrYantho

Whoops. My earlier one didn't subtract the 2 small semi-circle cutouts. So my answer above, you only add one semi-circle.

7. yociyoci

ok, thank you!