Two circles are drawn in the coordinate plane. The small circle has centre C and radius 1 inch; the large circle has centre O and radius 2 inches. Find the ratio of the shaded area to the area of the small circle.
In right triangle ABC, right-angled at C, $BC=\frac12AB$. D is the midpoint of AB, and $DE\perp AC$ at E. If BC=10 cm, find the perimeter of triangle BCD.
Tickets are sold in small bundles of 3 and large bundles of 5. Jack wants exactly 17 tickets, without loose tickets or leftovers. How many bundles in total should he buy?