EBK MATHEMATICS FOR MACHINE TECHNOLOGY
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 55, Problem 1A

If A = 30 ° and B D = 58 ° 26 ' , find the measure of C D .

Chapter 55, Problem 1A, If A=30 and BD=5826 , find the measure of CD .

Expert Solution & Answer
Check Mark
To determine

The length of arc CD.

Answer to Problem 1A

Arc length CD=118°26

Explanation of Solution

Given:

EBK MATHEMATICS FOR MACHINE TECHNOLOGY, Chapter 55, Problem 1A

  A=30°

  BD=58°26

Concept used:

An angle formed at a point outside the circle by two secants, or two tangents is calculated by the given formula:

  A=12(CDBD)

Calculation:

The angle at point A is calculated by using the formula:

  A=12(CDBD)

  30°=12(CD58°26)

  30°×2=CD58°26CD=30°×2+58°26CD=60°+58°26CD=118°26

Conclusion:

The measurement of the arc is CD is 118°26.

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