Can the area of an circle be less then the the perimeter?

Answer 1

No and I must say shame on you for making the grammatical error, you can only write "an" if there is a vowel following. First grade my friend.

+++

You cannot compare them like that.

The "perimeter" of a circle of diameter D is its "circumference" and that is a linear measure given by pi*D or 2*pi*R, where R is the radius.

The area is given by either pi*(D^2)/4, OR by pi*(R^2); so is not a linear measure.

For either case, use diameter or radius depending on what you are given or better suits any surrounding calculations.

A neat trick with using the diameter is to re-arrange the formula slightly into Area = (D^2)*pi/4. Now, pi/4 to four decimal places, so often accurate enough for most practical purposes, is 0.7854. If you use pi frequently it's worth remembering both pi and pi/4 to 4 decimal places, as your constants

If you look at your calculator key-pad, assuming it's standard layout, those 4 decimal digits all lie in a neat clockwise square, making the calculation rather nifty!