anonymous
  • 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.
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
give medal and fan if answered.
anonymous
  • anonymous
help

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More answers

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

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