SOLUTION: In the diagram to the bottom, AB is the diameter of the large circle. The smaller circles both have their centers on AB, and both are tangent to each other and to the large circle.

Algebra ->  Circles -> SOLUTION: In the diagram to the bottom, AB is the diameter of the large circle. The smaller circles both have their centers on AB, and both are tangent to each other and to the large circle.      Log On


   

Question 1148128: In the diagram to the bottom, AB is the diameter of the large circle. The smaller circles both have their centers on AB, and both are tangent to each other and to the large circle. If AC is 4/5 the length of AB, what fraction of the diagram is shaded?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
In the diagram to the bottom, AB is the diameter of the large circle.
The smaller circles both have their centers on AB, and both are tangent to each other and to the large circle.
If AC is 4/5 the length of AB, what fraction of the diagram is shaded
:
Let the diameter of the larger circle = 5
then
the diameter of the medium circle = 4
and
the diameter of small circle = 1
then
2.5 = radius of the larger circle
2 = radius of the middle circle
.5 = radius of the smaller circle
:
%28pi%2A2.5%5E2%29+-+%28pi%2A2%5E2%29+-+%28pi%2A.5%5E2%29 = 6.283
:
6.283%2F%28pi%2A2.5%5E2%29 = .32 = 32%2F100 = 8%2F25 is the shaded area