SOLUTION: If the radius of a circle is .25, what is the area? I came up with .19634. How can that be?

Question 74519: If the radius of a circle is .25, what is the area? I came up with .19634. How can that be?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
If the radius of a circle is .25, what is the area? I came up with .19634. How can that be?
.
Your answer is close enough. A few more decimal points would give you the answer 0.1963495
and that would round to 0.19635.
.
What's probably causing you to wonder about it is the radius. In fractional form, the radius
is:
.
and when you square that in calculation the square of the radius becomes
. When you multiply by the radius squared, you are actually dividing
by . That's what causes the Area to be very small (and when you think about
it, a circle with a radius 0.25 is a pretty small circle, so you might expect its Area
to be small also).
.
Hope this helps to get rid of your concern. You did the problem correctly. Good job!!!!
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