11* In Figure 4.40 we have right triangle ABC inscribed in a circle with AC = 6, BC = 8 and AB = 10. We construct semicircles on AC and CB. Find the sum of the areas of regions X and Y, the shaded crescents. X A 6 10 8 Y Figure 4.40 B

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11* In Figure 4.40 we have right triangle ABC inscribed in a circle with AC = 6, BC = 8 and AB = 10.
We construct semicircles on AC and CB. Find the sum of the areas of regions X and Y, the
shaded crescents.
X
A
C
6
10
8
Y
Figure 4.40
B
Transcribed Image Text:11* In Figure 4.40 we have right triangle ABC inscribed in a circle with AC = 6, BC = 8 and AB = 10. We construct semicircles on AC and CB. Find the sum of the areas of regions X and Y, the shaded crescents. X A C 6 10 8 Y Figure 4.40 B
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