# Convoluted image problem

• Jan 9th 2009, 06:32 AM
AlgebraicallyChallenged
Convoluted image problem
Our whole course is having a problem with this one , its tricky , for me at least any comment , please share

Write the area of the figure in the attached file in factored form.
• Jan 9th 2009, 08:11 AM
Constatine11
Quote:

Originally Posted by AlgebraicallyChallenged
Our whole course is having a problem with this one , its tricky , for me at least any comment , please share

Write the area of the figure in the attached file in factored form.

Cut off the semi-circular ends and join them along the cut. Now you have a square of side 2r and a circle of radius r.

Hence the area of the firgue is equal to the sum of the areas of a square of side 2r and a circle of radius r. Write this out, take out the common factor and you are done.

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• Jan 15th 2009, 06:45 AM
lebanon
Hellow, first u huv 2 brin' da area af da square which is
S*S=4r^2 unit^2
plus da area of da identical semi circles
pi*redias^2
=pi*r^2
=3.14r^2
da area of all is: area of square + area of both circles
=3.14r^2+4r^2
=7.14r^2 unit^2