Chapter 8.4, Problem 9E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Find the exact length of A B ⌢ , where A B ⌢ refers to the minor arc of the circle.

To determine

To Find:

The length of AB, where AB refers to the minor arc of the circle.

Explanation

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

The circumference of the circle, c=2Ï€r.

It is given that the radius of the circle is 8 in.

Therefore, C=2â‹…3.14â‹…8=50.24.

Therefore, the circumference of the circle is 50.24 in.

Next, the degree of the arc AB is 60Â°.

The degree of the entire circle is 360Â°.

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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