Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 9 - Measurement - 9.2 Measuring Area and Volume - Exercise Set 9.2: 65

Answer

The best estimate for the area of the face of a small coin is $6~cm^2$

Work Step by Step

Let the area of the coin be 6 units squared. We can find the radius $R$ of the coin. $Area = \pi~R^2 = 6~units^2$ $R^2 = \frac{6~units^2}{\pi}$ $R = \sqrt{\frac{6~units^2}{\pi}}$ $R = 1.4~units$ For a small coin, a radius of 1.4 mm is too small and a radius of 1.4 dm is too large. A radius of 1.4 cm is the best estimate for the radius of a small coin. The best estimate for the area of the face of a small coin is $6~cm^2$
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