SOLUTION: https://media.discordapp.net/attachments/723023718497910816/849268803228663808/unknown.png?width=447&height=121
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Question 1181243
:
https://media.discordapp.net/attachments/723023718497910816/849268803228663808/unknown.png?width=447&height=121
Answer by
greenestamps(13200)
(
Show Source
):
You can
put this solution on YOUR website!
Look at the diagram with AC a side of the rhombus and the semicircle with center B on side AC and radius BD.
Let r be the radius of the semicircle, BD; BC is also a radius.
Triangle ABD is a 30-60-90 right triangle in which the radius is the long leg. That makes the length of AB
.
But AB+BC=BC=3. So
Use a calculator to solve that to find the radius; then use the formula for the area of a semicircle to get the answer to the problem.
I leave that much of the problem to you.
Note my result for the area of the semicircle is 3.045 square units, which is actually good to 4 decimal places.
