Question

Medal: What is the area of the shaded region in the given circle in terms of pi and simplest form? Photo of circle & answer choices below.

Answer 1

Circle:

Answer 2

\[A. (30\pi+9\sqrt{3})m ^{2}\]

Answer 3

\[B. (24\pi +9\sqrt{3})m^2\]

Answer 4

\[C. (30\pi +18\sqrt{3})m^2\]

Answer 5

\[D. (24\pi +18\sqrt{3})m^2\]

Answer 6

@563blackghost Help?

Answer 7

how you think it that you can solve it easy right ?

Answer 8

I honestly have no idea how to work this out.

Answer 9

ok.
like a first step this sector of 60 degree angle is 1/6 part of the circle - yes ?

Answer 10

right.

Answer 11

so bc. the circle has a central angle of 360 degree and 60 is 1/6 part of this 360
ok.

so than you calculi area of the circle and from this result you subtract this 1/6 part of this area so you get the 5/6 part from area of the circle - yes ?

Answer 12

so than you assum area of this 5/6 part of the circle with area of this triangle equilateral so will get area of shaded region - do you agree it ?