SOLUTION: A rectangle with its 4 corners removed. Each of the 4 identical corners removed is a quarter circle. Ratio of length to the breath of the rectangle is 12:5 It is 17 cm between t

Question 1119462: A rectangle with its 4 corners removed. Each of the 4 identical corners removed is a quarter circle. Ratio of length to the breath of the rectangle is 12:5
It is 17 cm between the 2 removed corners at the length of the Rectangle
It is 3 cm between the 2 removed corners at the breadth of the Rectangle
1- What is the radius of each quarter circle?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rectangle with its 4 corners removed.
Each of the 4 identical corners removed is a quarter circle.
Ratio of length to the breath of the rectangle is 12:5
It is 17 cm between the 2 removed corners at the length of the Rectangle
It is 3 cm between the 2 removed corners at the breadth of the Rectangle
What is the radius of each quarter circle?
:
let r = the radius of the circle
=
cross multiply
5(17+2r) = 12(3+2r)
distribute
85 + 10r = 36 + 24r
85 - 36 = 24r - 10r
49 = 14r
r = 49/14
r = 3.5 cm is the radius
;
;
Check; 2r=7: length 17+7; width 3+7
=
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