freespirit113 wrote:
Length of wall = 31*12 + 6 =378......(1 feet =12 inches)
Area of circle = pi*(radius^2) = 36 pi
radius = 6
diameter=12
x is the space in between circles. To maximize the number of circles, we need to minimize the space in between the circles.
Also, as per the question, x is an integer.
Therefore, least integer we can consider is 1.
Now let p be the number of circles.
If there are x circles there will be x+1 spaces in between.
Now, length of wall = No. of circle*Length of diameter + Number of spaces * Length of each space
So, 12p+(p+1)(1)=378
Thus, 13p=377
p=29
If the wall starts with a circle and ends with a circle
(designer wants to leave a space of x inches between each circle and at either end of the row, with no space left over) then how come the number of circles is smaller than the number of spaces.
For example:
O is circle and
- is space.
|O-O-O|
|O-O-O-O-O-O|
|O-O-O-O-O-O-O-O-O-O-O-O|
Please explain.