Question 1210141
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The area of a cross section of a sphere is 64% of the largest possible cross sectional area of the sphere. 
If the sphere has radius 1/2, what is the area of the cross section?
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<pre>
The largest possible cross section area of the given sphere is 

   {{{pi*r^2}}} = {{{pi*(1/2)^2}}} = {{{pi/4}}} square units.


The area of the 64% cross section of the sphere is  0.64  of { {{pi/4}}},  or

    {{{0.64*(pi/4)}}} = {{{0.16*pi}}} = 0.16*3.14159265 = 0.502654824  (approximately).


<U>ANSWER</U>.  The area of the cross section under the question is  

         {{{0.16*pi}}} = 0.502654824 square units (approximately).

         You may round it as you want.
</pre>

Solved.