document.write( "Question 74519: If the radius of a circle is .25, what is the area? I came up with .19634. How can that be? \n" ); document.write( "

Algebra.Com's Answer #53484 by bucky(2189) $\"\"$ $\"About$

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If the radius of a circle is .25, what is the area? I came up with .19634. How can that be?
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\n" ); document.write( "Your answer is close enough. A few more decimal points would give you the answer 0.1963495
\n" ); document.write( "and that would round to 0.19635.
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\n" ); document.write( "What's probably causing you to wonder about it is the radius. In fractional form, the radius
\n" ); document.write( "is:
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\n" ); document.write( " $\"1%2F4\"$ and when you square that in calculation $\"pi%2Ar%5E2\"$ the square of the radius becomes
\n" ); document.write( " $\"1%2F16\"$ . When you multiply $\"pi\"$ by the radius squared, you are actually dividing
\n" ); document.write( " $\"pi\"$ by $\"16\"$ . That's what causes the Area to be very small (and when you think about
\n" ); document.write( "it, a circle with a radius 0.25 is a pretty small circle, so you might expect its Area
\n" ); document.write( "to be small also).
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\n" ); document.write( "Hope this helps to get rid of your concern. You did the problem correctly. Good job!!!! \n" ); document.write( "

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