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Geometry DS

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by rahul.s » Sun Jan 17, 2010 4:43 am
In the figure shown, what is the area of the circular region with center O and diameter BC?

1) BC/AB = 3/4
2) BD = 25
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Source: — Data Sufficiency |
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by ramsharma » Sun Jan 17, 2010 8:17 am
to find out the area of circular region we need either BC or BO

Statement 1.This gives only the ratio of BC and AB.BC will vary when ab will vary(when AB=16,BC=9 and when AB=32 ,BC=18.) hence insufficient

Statement 2.This provides only BD and we can not calculate BC with this.
Insufficient

Statement 1 and 2 together

BC/AB=3/4= so BC and AB are in the ratio of 3:4,
Consider BC=3k and AB=4k hence BD=5k(right angled triangle)

BD=5K=25 so k=5

BC=15
therefore area ca be calculated.
Sufficient
RAM SHARMA
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