What is the area of the sector bound by the center of the circle and in the circle below? (1 point)
Select one:
a. 9.42 ft2
b. 19.54 ft2
c. 34.89 ft2
d. 88.31 ft2
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OpenStudy (anonymous):
OpenStudy (anonymous):
@Coolsector
OpenStudy (anonymous):
what do you think ?
OpenStudy (anonymous):
i am thinking B but not sure
OpenStudy (anonymous):
so
A = (30/360) * pi*r^2
A = (1/12) * pi * 36 = 3pi = 9.42
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OpenStudy (anonymous):
but tell me, do you understand what i did ?
OpenStudy (anonymous):
ok so you too the angle divided by the 360 degrees of the circle then multiplyed it by pi and radius of 6^2 which equals 36
OpenStudy (anonymous):
i dont understand where th 1/12 came from though
OpenStudy (anonymous):
i dont understand where th 1/12 came from though
OpenStudy (anonymous):
30/360 = 1/12
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OpenStudy (anonymous):
ohhhh ok
OpenStudy (anonymous):
thank you
OpenStudy (anonymous):
you should always remember that the area of a complete circle is
pi * r^2
now since complete circle means 360 degrees, for a sector we see what part of 360 it is
this is why i multiplied it by the angle divided by 360.