Question

What is the value of x to the nearest tenth?
a.)26.8
b.)30.0
c.)6.0
d.)13.4

Answer 1

So x is the segment area?

Answer 2

yes

Answer 3

That's funny because I just wrote a web page about finding that.
Anyway, I'll explain it to you.

Answer 4

okay, go

Answer 5

1) We find the area of entire circle
2) Calculate SECTOR Area (x + triangle area * 2)
by measuring the angle of the triangle.
3) Subtract triangle area times 2 from sectors area.

1) Area of entire circle = PI * 18*18
= 1,017.876

Answer 6

2) Calculating Sector Area
which is triangle angle /360.
ARRGGHHHH why didn't they label the angles????
Triangle angle = Let's call it the radius angle

cosine (radius angle) = 12/18 = .666666666
arc cosine (.6666666) = radius angle = 48.19 Degrees

Now we need double that angle, 96.38 to get the sector area.

Sector area = (96.38 / 360) * circle area

Answer 7

270.63= sector angle?

Answer 8

Circle area = 1,017.876
sector area = (96.38 / 360) * circle area
sector area = 272.5080246667

3) Now for the segment area
this equals sector area minus 2 times triangle area
The third side of the triangle is 13.416407865
(which is sq root (18² - 12²) )
Area of both triangles is 12 * 13.416407865
= 160.99689438
= 161 rounded

So segment area = 272.51 minus 161.00 =
111.51
Yes it's just that "simple"
LOL

Answer 9

and that's not one of the choices right?
LOL

Answer 10

no it's not. i think it was for the segment line

Answer 11

Yes NOT the segment.
Okay we'll get that third triangle side 13.416407865
and multiply by 2 and get
26.83281573 or
26.84 rounded

Answer 12

Seems like a) doesn't it?

Answer 13

yes

Answer 14

See? It's just that simple.

Answer 15

again, it is just that simple. thanks

Answer 16

u r welcome
glad to help out