Question

http://gyazo.com/bf5c06e1c334d1db8024e55a561b59cc
What is the area of the shaded region in the given circle in terms of pi and in simplest form?

Answer 1

separate it into 2 areas, find the area of the circle first. not the whole circle, just hte shaded part w/o the triangle

Answer 2

the area of the shaded part of the circle is 1017.88 correct?

Answer 3

it says in terms of pi, don't simplify it

Answer 4

324 pi

Answer 5

that's not an answer

Answer 6

or a choice*

Answer 7

I know that's the area of the circle

Answer 8

oh, I'm stupid and sleep deprived sorry

Answer 9

It's okay me too :P so where do i go from there?

Answer 10

I didn't mean the whole circle, I meant this part
give me a while to look back at some of these formulas lol

Answer 11

ok we have \(A=\dfrac{n}{360} \pi r^2\) to find the area of n degrees of a circle. here n is 300

Answer 12

Oh! so it's 270 pi

Answer 13

how'd you get that?

Answer 14

well 300/360 = .83333333333333
Then you have to multiply that by r squared which is 324.
which gives me 270

Answer 15

isn't r 19?

Answer 16

r is 18

Answer 17

woooow

Answer 18

my bad, okay

Answer 19

my guess is the answer is 270 pi + 54(sqr root of 3)

Answer 20

so the area of the shaded circle is 270pi, that means we can cancel b

Answer 21

then find the area of the equilateral triangle

Answer 22

idk how much trig you know but you can go the bruteforce route and use a google calculator instead
google says the area of an equilateral triangle = \(\dfrac{\sqrt3}{4}s^2\)