Find the area of the composite figure. (round to the nearest hundredth)

Mathematics

1 answer:

8090 [49]2 years ago

8 0

We know that
[the area of composite figure]=[area of rectangle]+[area of a half circle]

[area of rectangle]=b*h
where
b=the base
h=the height
[area of rectangle]=b*h--------> 4.1*8.6---------> 35.26 cm²

[area of a circle]=pi*r²
where
r=the radius
r=4.1/2-------> 2.05 cm
the figure is a half circle
then
[area of a half circle]=pi*r²/2--------> pi*2.05²/2--------> 6.60 cm²

[the area of composite figure]=35.26+6.60--------> 41.86 cm²

the answer is
41.86 cm²

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