2013 UNCO Math Contest II Problems/Problem 1
Problem
In the diagram, the two circles are tangent to the two parallel lines. The distance between the centers of the circles is , and both circles have radius . What is the area of the shaded region between the circles?
Solution
Notice that the shaded area is equivalent to the area of a rectangle subtracted by the area of 2 semicircles. Since we know that the radius of the circles are , we can find the width of the rectangle to be . Solving for the shaded area, we get ~pineconee
See Also
2013 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |