Mathematics
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OpenStudy (anonymous):
If the radius of G is 10 and angle AGB = 72, calculate the area of the sector in G formed by the segments AG and GB.
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OpenStudy (anonymous):
OpenStudy (anonymous):
give medal and fan if answered.
OpenStudy (anonymous):
help
OpenStudy (amistre64):
define 'sector'
OpenStudy (anonymous):
anything in GAEB
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OpenStudy (amistre64):
does it include the triangle, or just the portion of the circle?
OpenStudy (anonymous):
the triangle
OpenStudy (amistre64):
i dont see enough information to determine the area of the triangle for those parts.
OpenStudy (amistre64):
hmm, might be tho ... lets draw it out maybe
OpenStudy (amistre64):
|dw:1440870557281:dw|
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OpenStudy (amistre64):
i cant say that i see a way to determine the length of the base from this.
OpenStudy (amistre64):
or trig it
OpenStudy (anonymous):
oh
OpenStudy (anonymous):
is there any possible guess
OpenStudy (amistre64):
not for the triangle ... the terminology 'sector' implies the circle area to me tho
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OpenStudy (anonymous):
oh
OpenStudy (anonymous):
well then what is the circle area
OpenStudy (anonymous):
?
OpenStudy (amistre64):
you would need to find the formula in your material for the area of a circle ... then we can progress
OpenStudy (anonymous):
A=πr2
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OpenStudy (anonymous):
for a circle
OpenStudy (amistre64):
and we know r right?
OpenStudy (anonymous):
A.20pi
B.100pi
C.2pi
D.72pi
the answer has to one of these
OpenStudy (amistre64):
... we know r right? what does the r stand for?
OpenStudy (anonymous):
yah radius
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OpenStudy (amistre64):
then our area of the full circle is? 10^2 pi
but we only want 72 degrees of it .. not 360
OpenStudy (anonymous):
yah
OpenStudy (amistre64):
10^2/360 gives us the area of 1 degree, and 72 degrees is just
72 * 10^2/360
OpenStudy (amistre64):
being lazy and omitting the pi part of course
OpenStudy (anonymous):
of course
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OpenStudy (anonymous):
so is it 100π
OpenStudy (amistre64):
100pi is the area of the whole circle ... we want 72 out of the 360 degrees that make up the whole
OpenStudy (amistre64):
what is 100/360?
OpenStudy (anonymous):
0.27
OpenStudy (amistre64):
and we want 72 of them ... what do we get when we add .277777... 72 times?
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OpenStudy (amistre64):
72 * 100/360
9*8 * 10/36
8 * 10/4
2 * 10
OpenStudy (anonymous):
so its 20π
OpenStudy (amistre64):
thatll do it as long as sector is refering to the part of the circle
OpenStudy (anonymous):
okay thanks
OpenStudy (amistre64):
yw