moongazer
is this correct? please check my answer :)



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moongazer
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dw:1344582621979:dw

moongazer
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find the area of sector
I got
(128pi)/9
but my book says 35.45
What is the correct answer?

moongazer
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radius=8
\[\theta=80degrees\]

moongazer
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I double checked it and I am always getting
(128pi)/9 or 44.68

apple_pi
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Area of sector = pi*r^2 * theta/360°

apple_pi
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Sub in values:
pi*8^2 * 80/360 = 128pi/9

apple_pi
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I'm pretty sure you're correct

moongazer
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maybe the book has a typo
Isn't it that
Area of sector = (1/2) (r^2) (theta)
theta is in radians

moongazer
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thanks :)

waterineyes
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\[Area = \frac{1}{2} \times 64 \times 80 \times \frac{\pi}{180} \implies 44.65\]

waterineyes
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Just trying..

moongazer
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@waterineyes I think it should be 44.68 ?
:)

waterineyes
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Actually it can be:
\[Area = 44.698\]

waterineyes
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As value of \(\pi\) is not exact so you cannot say about the exact value..

waterineyes
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Here we all are approximating this value..

moongazer
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ohh ok I get it :)

waterineyes
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Surely your book is carrying something wrong for this question..
You are right @moongazer

moongazer
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Thanks :)