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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.

OpenStudy (anonymous):

OpenStudy (anonymous):

give medal and fan if answered.

OpenStudy (anonymous):

help

OpenStudy (amistre64):

define 'sector'

OpenStudy (anonymous):

anything in GAEB

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|

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

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

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

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

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?

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

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