If C= 65 (degrees) and x= 22 find r.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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If C= 65 (degrees) and x= 22 find r.

### Geometric Diagram Explanation

In the given diagram:

- A circle with center \(C\) and radius \(r\) is depicted in red.
- The point \(C\) is denoted at the center of the circle.
- The point \(B\) lies on the circle and is connected by the radius \(r\) to the center \(C\).
- Additionally, a right-angled triangle \(D\) is formed with the radius drawing perpendicular from the point \(D\) to \(C\), making \(DC\) one side of the right angle with length \(r\).
- The other leg of the right angle is the radius also marked as \(r\) which runs vertically from point \(D\) to \(C\).
- The hypotenuse \(DB\) extends from point \(D\) to \(B\).
- There is a segment \(AB\), marked as having length \(x\), extending from point \(A\) to point \(B\).
- Points \(A\), \(B\), \(C\), and \(D\) are connected to form three line segments \(AD\), \(DB\), and \(BA\).

Together, the diagram illustrates the relationship between a circle centered at \(C\) with radius \(r\), the point \(A\) outside the circle, and the geometric figures formed with these elements.
Transcribed Image Text:### Geometric Diagram Explanation In the given diagram: - A circle with center \(C\) and radius \(r\) is depicted in red. - The point \(C\) is denoted at the center of the circle. - The point \(B\) lies on the circle and is connected by the radius \(r\) to the center \(C\). - Additionally, a right-angled triangle \(D\) is formed with the radius drawing perpendicular from the point \(D\) to \(C\), making \(DC\) one side of the right angle with length \(r\). - The other leg of the right angle is the radius also marked as \(r\) which runs vertically from point \(D\) to \(C\). - The hypotenuse \(DB\) extends from point \(D\) to \(B\). - There is a segment \(AB\), marked as having length \(x\), extending from point \(A\) to point \(B\). - Points \(A\), \(B\), \(C\), and \(D\) are connected to form three line segments \(AD\), \(DB\), and \(BA\). Together, the diagram illustrates the relationship between a circle centered at \(C\) with radius \(r\), the point \(A\) outside the circle, and the geometric figures formed with these elements.
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