Chapter 9.4, Problem 42E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*For Exercises 39 to 44, make drawings as needed*.

Plane *R* is tangent to a sphere *O *at point *T*. How are radius
*R* related?

To determine

**To find:**

The relation of tangent plane and radius of the sphere.

Explanation

**Approach:**

A sphere is a three dimensional solid figure, which is made up of all points in the space, which lie at a common distance, called the radius, from a fixed point called the center of the sphere. A sphere is a 3 dimensional version of a circle. Similar to a circle, a sphere may have tangent and secant lines. In addition, the sphere may also have tangent planes.

1) A line which intersects a sphere in two distinct points is called the secant of a sphere.

2) A line which intersects a sphere in only one point is called the tangent to a sphere.

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