Question

The circle below has a radius of 12 cm. What is the area of the shaded region? If necessary, round your answer to two decimal places. Do not include units in your answer.

(Picture below.)

Answer 1

Hint:120 degrees is 120/360 = 1/3 of a full revolution

so this sector will have 1/3 of the area of the full circle

Answer 2

A=360?

Answer 3

360 is the number of degrees in a full circle

Answer 4

if the angle was 360 (and not 120), then you would use the whole circle area

Answer 5

basically, you can fit 3 of those shaded area pieces into the whole circle

so that's another way of seeing it and why the area of the shaded region is 1/3 of the circle's area

Answer 6

Ohhhh! Ok I got it.

Answer 7

that's great, glad it's clicking now

Answer 8

How would I find the area?

Answer 9

use the formula

A = pi*r^2

to find the area of the whole circle

Answer 10

once you get that, multiply it by 1/3

Answer 11

OKAY AND THE THE ANSWER IS 1/3 OKOKOK

Answer 12

no

Answer 13

not just 1/3

Answer 14

Thanks!

Answer 15

1/3 of whatever the area is

Answer 16

No! I mean, i divide it by 1/3

Answer 17

multiply by 1/3

Answer 18

or divide by 3

Answer 19

Yeah! That's what I meant, thanks!

Answer 20

yw

Answer 21

Is the answer 135648?

Answer 22

way too big

Answer 23

yeah /: let me try again

Answer 24

135,716.80

Answer 25

I got that

Answer 26

I'm doing A = pi*360^2, then I divide it by 3. Would that be the answer?

Answer 27

no, the radius isn't 360

Answer 28

I can see why you got such a very large answer

Answer 29

Wait, the radius is 12 right?

Answer 30

yep

Answer 31

r is the radius

r = 12 in this case

Answer 32

Alright!

Answer 33

Okay, I did it again, is the answer 150.80?

Answer 34

yep

Answer 35

Thanks for your patience, and help.

Answer 36

np