Tangent and Secant Lines
As shown in the above diagram, triangle inscribed in a circle is an isosceles triangle with where denotes the length of Given the following two lengths: what is
Note: The above diagram is not drawn to scale.
The above diagram illustrates a meters by meters rectangular farmland The farmland contains a circular well with radius meters at its upper left corner, which is tangent to and If the farmer wants to build a straight fence dividing the land into two areas in the following way, what should be the length of (in meters):
- the well goes to the left of the fence
- make the area of as large as possible?
in the above diagram is a square-shaped park with side length meters. If there is a circular fountain with radius meters at the center of the park, what is the length (in meters) of the shortest path from to that does not pass through the fountain?
is tangent to circle at point and points and lie on circle If and what is the measure (in degrees) of
You have a piece of rectangular land that measures meters by meters. There are two wells, one at the upper left corner and another at the lower right corner, with the same radius. Both wells are tangent to the borders of the land. When you put a fence that is tangent to both wells, as shown in the above diagram, you find What is the radius of the two wells?