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14.1 - Copy

# 14.1 - Copy - 14-1/14-2 Circles and Spheres/Tangent Lines...

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14-1/14-2 Circles and Spheres/Tangent Lines to Circles A) Basic Definitions a. Circle with center P and radius r i. The set of all points of the plane whose distance from P is equal to r b. Sphere with center P and radius r i. The set of all points of space whose distance from P is equal to r c. Chord i. A segment whose endpoints are on the circle d. Secant i. A line which intersects the circle in two points e. Diameter i. A chord containing the center

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f. Radius i. Is a segment from the center to a point of the circle ii. Two meanings of radius 1. A segment 2. A number g. Great circle i. The intersection of a sphere with a plane through its center B) Example a. Name a chord/radius/diameter/secant b. C) Theorem 14-1 a. The intersection of a sphere with a plane through its center is a circle with the same center and the same radius
D) 14-2 Tangent Lines to Circles a. Interior of a circle i. Points whose distance from the center is less than the radius b. Exterior of a circle i. Points whose distance from the center is greater than the radius c. Tangent i.

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14.1 - Copy - 14-1/14-2 Circles and Spheres/Tangent Lines...

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