Tuesday, April 10, 2012

Chapter 10 Circles (4/9/10)

In chapter 10, I have learned about circles. A circle is a locus of all points in a plane equidistant from a given point called the center of the circle. A circle is usually named by its center point. Any segment with endpoints that are on the circle is a chord of the circle. A chord that passes through the center is the diameter of the circle. One-half of the diameter is the radius. A central angle has the center of the circle as its vertex and its sides contain tow radii of the circle. In an inscribed angle, all of its vertices lie on the circle. A line is considered to be tangent when it intersects the circle in exactly one point, the point is called the point of tangency. A line is considered to be secant if it intersects a circle in exactly two points.

A career that uses this concept is an architect. An architect uses angles, semi circles, and arcs to design the layouts of a building. A civil engineer uses those angles to prepare the foundation of a building so an architect can do their job.

Does a tangent have to be exactly one point on the exterior of a circle?