Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 10 - Area - 10-6 Circles and Arcs - Practice and Problem-Solving Exercises - Page 656: 46

Answer

a. $6^{\circ}$ b. $30^{\circ}$ c. $120^{\circ}$

Work Step by Step

In an hour, the minute hand moves through the entire circle, which is $360^{\circ}$. Since an hour is 60 minutes, each minute, the hand would move 360/60 = $6 ^{\circ}$. So the number of minutes just needs to be multiplied by $6 ^{\circ}$. a. $6 ^{\circ}$/min * 1 min = $6 ^{\circ}$ b. $6 ^{\circ}$/min * 5 min = $30 ^{\circ}$ c. $6 ^{\circ}$/min * 20 min = $120 ^{\circ}$
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