SOLUTION: a 10m square plot is to have a circular flower bed of 60m squared centered at the center of the square.the other part of the plot is to be paved so that the owners can walk around

Algebra ->  Finance -> SOLUTION: a 10m square plot is to have a circular flower bed of 60m squared centered at the center of the square.the other part of the plot is to be paved so that the owners can walk around       Log On


   



Question 666479: a 10m square plot is to have a circular flower bed of 60m squared centered at the center of the square.the other part of the plot is to be paved so that the owners can walk around the flower bed.what is the minimum "width" of the paved surface?in other words,what is the smallest distance from the flower bed to the edge of the plot?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Area of circle = 60 sq.m
area = pi*r^2
60=pi*r^2
60/pi= r^2
sqrt%2860%2Fpi%29=+r
r= 4.37
Length of square plot = 10 m
half the length = 10/2 = 5m
Minimumm width will be radius of bed - half the length of square plot. On the diagonal it will be greater
minimum width of walkway = 5-4.37= 0.63m
m.ananth@hotmail.ca