## moongazer 3 years ago is this correct? please check my answer :)

1. moongazer

|dw:1344582621979:dw|

2. moongazer

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

3. moongazer

radius=8 $\theta=80degrees$

4. moongazer

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

5. apple_pi

Area of sector = pi*r^2 * theta/360°

6. apple_pi

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

7. apple_pi

I'm pretty sure you're correct

8. moongazer

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

9. moongazer

thanks :)

10. waterineyes

$Area = \frac{1}{2} \times 64 \times 80 \times \frac{\pi}{180} \implies 44.65$

11. waterineyes

Just trying..

12. moongazer

@waterineyes I think it should be 44.68 ? :)

13. waterineyes

Actually it can be: $Area = 44.698$

14. waterineyes

As value of $$\pi$$ is not exact so you cannot say about the exact value..

15. waterineyes

Here we all are approximating this value..

16. moongazer

ohh ok I get it :)

17. waterineyes

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

18. moongazer

Thanks :)