Re: Dimension of an area?

Quote:

Originally Posted by

**JRichardson1729** I have found a question that I do not believe is hard, but I don't understand what it is asking. The question is:

"The expression

$\displaystyle \frac{\pi p^2q^n}{\sqrt{p^2+q^2}}$

has the dimension of an area. Find the value of n."

What is a dimension of an area?

The dimension of an area is $\displaystyle \text{(Length)}^2$

For this question you need to find a value of n such the quotient of the whole fraction has an exponent of 2.

Re: Dimension of an area?

But, what does "dimension of an area" mean?

Re: Dimension of an area?

Quote:

Originally Posted by

**JRichardson1729** But, what does "dimension of an area" mean?

This is an example of Dimensional Analysis

Length, Time, Temperature (basically anything described by an SI base unit) is a dimension. The area of something is **Length x Length** so that is it's dimension.

Re: Dimension of an area?

Does the problem say "dimension of an area" or "dimension**s** of an area".