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John wants to place a round table with radius r=1.5m in a living room

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Re: John wants to place a round table with radius r=1.5m in a living room [#permalink]
logchucker wrote:
The area means each side of the room is 6m, the table has to be 1.5M off the wall. Adding that on both sides excludes 3M, 1.5 from either side. The remaining are on a side is 3M. 3^2/36=1/4.

How did I miss that? Thank you so much logchucker!
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Re: John wants to place a round table with radius r=1.5m in a living room [#permalink]
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eduardof wrote:
John wants to place a round table with radius r = 1.5m in a living room. The living room is a square with area A = 36m². If John selects a random spot in the living room to place the table center, what is the probability that the table will fit the room?

A 7/9
B 60%
C 5/9
D 4/9
E 25%

Solution:

The living room is 6 m by 6 m. Since the center of the table must be located 1.5 m from each of the 4 walls of the room, the center of the table must be somewhere in a square in the center of the room that measures 3 m by 3 m. Since the room has an area of 36 m^2 and the square in the center of the room has an area of 3 x 3 = 9 m^2, the probability that the table will fit the room 9/36 = 1/4 = 25%.

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Re: John wants to place a round table with radius r=1.5m in a living room [#permalink]
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Re: John wants to place a round table with radius r=1.5m in a living room [#permalink]
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