Mathematics
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OpenStudy (anonymous):
What is the approximate area of the composite figure shown? Use 3.14 for pi .
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OpenStudy (anonymous):
OpenStudy (anonymous):
help
hartnn (hartnn):
do you know the formula for area of rectangle ?
OpenStudy (anonymous):
yes
hartnn (hartnn):
so what the area of that rectangle ?
also, did you realize that area of composite figure = area of rectangle +area of semicircle
?
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OpenStudy (anonymous):
im stuck
hartnn (hartnn):
the two sides given are 8 and 20, so the area of rectangle = 8*20 =.. ?
OpenStudy (anonymous):
160
hartnn (hartnn):
now to get area of semicircle, we need the radius (or diameter)
can you figure out that ?
OpenStudy (anonymous):
that was the hard part for me
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hartnn (hartnn):
you know what a diameter is ?
OpenStudy (anonymous):
like a stight line that gose thrue a circel
hartnn (hartnn):
yes, almost. so, the diameter here is 8, right ?
now use the formula for area of circle =\(\pi d^2/4\)
using, d=8
what area u get ?
OpenStudy (anonymous):
172.56
hartnn (hartnn):
how, ? i get 64pi/4 = 50.2654
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hartnn (hartnn):
composite area = 160+50.2654 =... ?
OpenStudy (anonymous):
ohh ok
OpenStudy (anonymous):
210.2654
hartnn (hartnn):
yes, thats approximate area of your composite figure.
OpenStudy (anonymous):
ok