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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Find exactly l C D for the minor arc shown.

Chapter 8.4, Problem 10E, Find exactly lCD for the minor arc shown.

To determine

To Find:

The length of the minor arc CD.

Explanation

To find the length of the arc CD, first find the circumference of the circle.

The circumference of the circle, d=2r.

It is given that the radius of the circle is 12 cm.

Therefore, C=23.1412=75.36.

Therefore, the circumference of the circle is 75.36 cm.

Next, the degree of the arc CD is 135°.

The degree of the entire circle is 360°.

The ratio of the degree of the arc (m) to the degree of the entire circle (360) is the same as the ratio of the length of the arc to the circumference of the circle

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