is the center of the circle. If cm, then the area of the brown part is . What is ?
is a cyclic quadrilateral with and . and are points on and , respectively, such that , , and Determine the length of the line segment formed when is extended from both sides until it reaches the circle.
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You are currently located on point and you want to get on point . However, there are some annoying circular objects in the way! They are defined by
If you cannot walk through these annoying circular objects, then the shortest possible path possible to point can be expressed as for positive integers with square-free. What is ?
Circles of radii 3,4, and 5 units are externally tangent. The lines which form the 3 common external tangent intersect at which is equidistant from the 3 points of tangency. Find this distance (from to any point of tangency)?
In , and A segment parallel to and tangent to the incircle of intersects at and at .
If , where and are co-prime positive integers, what is the value of ?