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Of an entire rectangular farmland 8m by 10m

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Of an entire rectangular farmland 8m by 10m

by gmatdriller » Thu Nov 01, 2012 1:00 pm
Of an entire rectangular farmland 8m by 10m, Rogers wants to clear a circular
space of radius 1m. If he randomly chooses the center of the circular space,
what are the odds that he does not extend beyond the edges of the farmland?

A:0.2 B:0.5 C:0.6 D:0.8 E:1.0

OA is C
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by obsolete » Thu Nov 01, 2012 5:01 pm
Draw a rectangular 8x10. Now look, in order for you to draw a 1m-radius circle without getting out of the region happens only when you keep it 1 m away from the border along the whole perimeter. You draw a smaller 6 by 8 rectangular inside the original one. Hence, (6x8)/(8x10) is your answer, which is P=0.6.
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