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Geometry 18 Online
OpenStudy (anonymous):

Calculate the area of the shaded sector in inches. A. 5.5 in2 B. 1.09 in2 C. 4.26 in2 D. 8.5 in2

OpenStudy (anonymous):

OpenStudy (anonymous):

12.5 is the diameter or radius?

OpenStudy (anonymous):

i'm not sure , that's what the image showed of the one i posted . i'm confused on this stuff .

OpenStudy (anonymous):

Area of the circle is (pi)(r^2), so the area of the sector (the shaded portion) is (25/360) of that.

OpenStudy (anonymous):

For sectors, use this rule: \[\frac{ sector \angle }{ total \angle }\times area of circle\]

OpenStudy (anonymous):

sector angle is 25 and the total angle of a circle is 360 multiplied with the area of the circle. Did you understand?

OpenStudy (anonymous):

So, (pi)(r^2)(25/360) because you have a ratio of the shaded area to the whole circle.

OpenStudy (anonymous):

i don't have a calculator with me to do that . i can't find the one i'd use anywhere that has all of that stuff on it . so no i'm still confused . /: i'm sorry

OpenStudy (anonymous):

You can call up a calculator from your computer under 'accessories"

OpenStudy (anonymous):

like with the pi stuff and all that .

OpenStudy (anonymous):

If you are using Windows, the calculator can be switched to Scientific view and that has pi on it.

OpenStudy (anonymous):

\[\frac{ 25 }{ 360 } \times \pi \times (6.25)^{2}\] type this in to the calculator

OpenStudy (anonymous):

i got 565.2

OpenStudy (anonymous):

is there an easier way to put this into a calculator on the computer considering it doesn't have a pi sign or anything like that?

OpenStudy (anonymous):

Yes, all your answers are to hundredths, so you can use 3.14 for pi and that will be good enough.

OpenStudy (anonymous):

could you show me how i would put this into the calculator please ?

OpenStudy (anonymous):

I would type in 6.25 x 6.25 x 3.14 x 25 / 360. It's backwards, but it makes the squaring a bit clearer.

OpenStudy (anonymous):

And usingthat value for pi gives a good answer from your list.

OpenStudy (anonymous):

so my answer would be 8.5in^2

OpenStudy (anonymous):

Excellent! Nice job!

OpenStudy (anonymous):

Thank you very much ! (:

OpenStudy (anonymous):

You're quite welcome! Nice working with you!

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