## anonymous one year ago Which of the following could be used to calculate the area of the sector in the circle shown above? π(10in)237 over 360 π(10in)37 over 360 π(37in)210 over 360 π(37in)10 over 360

1. anonymous

2. jim_thompson5910

None of these answer choices are correct. Is there something missing from one of them?

3. anonymous

ohhh they are missing the ^2

4. jim_thompson5910

on which ones?

5. anonymous

all of them

6. anonymous

is (10in)^2 on all of them

7. jim_thompson5910

how is the ^2 written? over the 37?

8. jim_thompson5910

oh ok

9. jim_thompson5910

what is the area of the entire circle? use this formula A = pi*r^2

10. anonymous

985.96?

11. jim_thompson5910

if r = 10, then r^2 = ??

12. anonymous

ohh wait my math was wrong. i didnt follow pemdas

13. anonymous

314 (putting pi as 3.14)

14. jim_thompson5910

don't replace pi with 3.14, leave pi as it is

15. anonymous

ahhhh ok hold on

16. anonymous

314.159..

17. jim_thompson5910

no it would just be 100pi

18. jim_thompson5910

think of pi as a variable

19. anonymous

oh ok

20. jim_thompson5910

now apparently, they didn't square the 10 to get 100 they left it as 10^2 so we'll have (10)^2*pi as part of the answer

21. jim_thompson5910

or pi*(10)^2

22. jim_thompson5910

pi*(10)^2 is the area of the WHOLE circle we just want that pizza slice to get the area of that slice, we multiply by 37/360

23. jim_thompson5910

$\Large \pi*(10)^2\times\frac{37}{360} = \frac{\pi\times(10)^2\times37}{360}$

24. jim_thompson5910

example: say the angle is 90 degrees 90/360 = 1/4 so we take a quarter of the full area to get the slice area

25. anonymous

ahh.. so the answer is b?

26. anonymous

nooo its a. the things were written wrong. i see

27. anonymous

a) π(10in)^2 37 over 360 b) π(10in) 37 over 360 c) π(37in)^2 10 over 360 d) π(37in) 10 over 360

28. jim_thompson5910

ah I see now, thanks

29. jim_thompson5910

yeah it's definitely A

30. anonymous

yay thank you!!

31. jim_thompson5910

no problem

Find more explanations on OpenStudy