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Mathematics
OpenStudy (anonymous):

My problem is attached, Thanks!

OpenStudy (anonymous):

Here,

OpenStudy (amistre64):

area of pie section - area triangle section = area of shaded section

OpenStudy (anonymous):

I got 315.18, which looks entirely different from everything else...

OpenStudy (amistre64):

2pi/3 is the radian measure of 120 degrees

OpenStudy (amistre64):

2pi/3* 24^2 ----------- = area pie shape 2

OpenStudy (amistre64):

thats an area of 192 pi right?

OpenStudy (amistre64):

the area of the triangle = 24^2 sin(120)/2

OpenStudy (amistre64):

b is looking more right

OpenStudy (anonymous):

The possible answers look like steps rather than final answers, is that true?

OpenStudy (amistre64):

they look like 'exact' answers as opposed to approximate decimals

OpenStudy (amistre64):

2pi/3 has a sin of sqrt(3)/2 24*24*(sqrt(3)) ------------- = 144sqrt(3) 2 * 2

OpenStudy (amistre64):

192pi - 144sqrt(3) = area shaded spot if i dint mess up

OpenStudy (amistre64):

and thats b

OpenStudy (anonymous):

Thanks!

OpenStudy (amistre64):

youre welcome :)

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