OT Trig Puzzle

Thomas Cole tcole@cruzio.com
Thu, 30 Oct 2003 22:11:35 -0800


Oops. Disregard the first sentence. I misread the problem. But I think I 
got the formula right.

Tom

Thomas Cole wrote:

> Richard,
>
> I'm going to assume that if the circumference of the half circle is 
> equal to 10 cm, that means it would be 20 cm if it were a full circle. 
> I'm also assuming that the maximum area of the combined figure is when 
> the rectangle's sides are of equal length.
>
> Thus, if 3D + piD/2 = 10 cm, then D =  2.1878 cm.
>
> Are you sure this isn't geometry?
>
> Sined,
> Tom Cole
>
> Richard Brekne wrote:
>
>> Ok guys and gals... so you think you remember you High School Trig eh ??
>>
>> Here is a refresher problem
>>
>> A half circle is placed on top of a rectangle such that its diameter is
>> the top side of the rectangle. The length of the 3 remaining sides of
>> the rectangle, plus the circumference of the half circle is equal to 10
>> cm.
>>
>> Question: What are the lengths of the sides of the rectangle when the
>> area of the combined figure is at its maximum ?
>>
>>
>> ... just in case you are bored with your weekend :)
>>
>> Cheers
>> RicB
>>
>>  
>>
>
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