What is the perimeter of the figure to the nearest hundredth of a centimeter?
A.
24.56 cm
B.
18.28 cm
C.
16 cm
D.
14.28 cm
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OpenStudy (southern_princess13):
OpenStudy (atrineas):
ok so do you know the formula to find the perimeter of a circle?
OpenStudy (southern_princess13):
no i dont remember
OpenStudy (southern_princess13):
ill be right back
OpenStudy (mathmale):
the figure here is made up of a half circle and three straight lines. What is the length of each of those straight lines? What is the radius of this semicircle? What is the formula for the circumference of a circle of given radius? What is half the circumference of a circle with this same radius?
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OpenStudy (atrineas):
it would be
\[2\pi r \]
but since its only half of a circle you would half the circumference when you finish (r=radius in the formula above)
OpenStudy (southern_princess13):
25.12?
OpenStudy (southern_princess13):
a
OpenStudy (atrineas):
Is that your circumference if so no
since the diameter of the half circle is 4 the radius would be 2 making the equation
\[2\pi 2 \]
which would equal?
OpenStudy (southern_princess13):
oh
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OpenStudy (southern_princess13):
12>56
OpenStudy (southern_princess13):
oops i meant 12.56
OpenStudy (atrineas):
close it's 12.57
and half of that is?
OpenStudy (southern_princess13):
6.28
OpenStudy (atrineas):
yes
now add the three sides of 4 and that will be your perimeter
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