College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 1 - Measurement and Problem Solving - Learning Path Questions and Exercises - Exercises - Page 28: 10


The equation $A=4\pi r^2$ is dimensionally correct.

Work Step by Step

In the equation $A=4\pi r^2$, $A$ is area and has SI units $m^2$. On the other side, $\pi$ is a dimensionless constant; and, $r^2$ has SI units $m^2$. Both sides have the same SI units, and therefore, the equation is dimensionally correct.
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