Question

To the nearest tenth, what is the area of the shaded segment when BN = 8 ft?
I tried using Area of Sector=(155/360)*3.14(8)²
But what I come up with isn't a choice

Answer 1

what are the options??

Answer 2

72.8 ft2
53.2 ft2
22.6 ft2
39.3 ft2

Answer 3

i am getting 67.04.
Are you sure we want the area of sector or it is area of segment??

Answer 4

To the nearest tenth, what is the area of the shaded segment when BN = 8 ft?
Segment

Answer 5

Area of sector NWB = \(\pi r^2 \times \frac{\theta}{360}\) = \(\pi (8)^2 \times \frac{120}{360}\) = \(\frac{64}{3}\pi\)

Area of triangle NWB = \(\frac{1}{2}r^2sin120\) = \(\frac{1}{2}(8)^2sin120\) = \(16\sqrt3\)

Area of shaded region = Area of sector NWB - Area of triangle NWB = \(\frac{64}{3}\pi -16\sqrt3\) = ...?

Answer 6

Thanks man, 39.3

Answer 7

You're welcome! For your information, I'm not a gentleman though.

Answer 8

Haha, sorry. Could you help me with the next shaded one? I guess I am terrible at them lol

Answer 9

Let see. Please close this question and start a new post for the new question.