it looks long but im just explaining what i did and can someone please tell me where i went wrong???
PLEASE?
ok, a sector of a circle of radius 6 cm has an angle of 1.6 radians
find the area for the sector hence find the area of the segment
The problem is that i worked out the area which is 28.8 of the sector
i worked out the triangle and took it away from the area of the sector and ended up with 10.8 which is right but then here's the problem how do you use the formula of the area of the sector?
it 1/2x6^2xsin(1.6)=0.50258...
but that not what i got above i got 10.8 above :S

- anonymous

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- amistre64

the area of a sector is the same as that of a circle; you just replace the angle measurement...
2pi r^2
------- = area circle
2
angle r^2
-------- = area any part of a circle
2

- amistre64

1.8pi 6^2
------- = .9pi(36) = 32.4 pi
2

- amistre64

ack!!...forget the pi part lol

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## More answers

- amistre64

32.4

- anonymous

so is the formula wrong then?

- amistre64

dunno; but my inputs are dyslexic...
1.6 (36)
------- = area of sector
2

- amistre64

.8(36) = 28.8

- anonymous

but thats a different answer :(
so is 10.8 wrong then??

- amistre64

why are you removing the area of the triangle?

- anonymous

to get the segment area
and i looked at the mark scheme and 10.8 is right but theres a segemnt area formula and that doesnt work :(

- amistre64

so teh segment will be the arch looking section of the piece of pie right?

- amistre64

the area of a trianlge is:
r^2 sin(angle)
------------
2

- amistre64

make sure you have your calculator set to radians tho

- anonymous

sin??
isnt area of a traingle BxH/2???

- amistre64

it is; but this isnt the area of a right triangle

- anonymous

oh :o

- amistre64

the area of any triangle is:
base = radial arm = 6
height = radial arm *sin(a) = 6 sin(1.6)
and /2
sooo...
36 sin(1.6)
--------- = 18 sin(1.6)
2

- amistre64

the area of the tri is abt: 17.99

- anonymous

here is the diagram, if u need it

##### 1 Attachment

- amistre64

28.8
-17.99
-------
10.81

- amistre64

or maybe not..... is 1.2 larger than 90?

- anonymous

1.2 lager than 90???
is this a trick qs?

- amistre64

1.2 * 180
-------- = 68.75 degrees right?
pi

- anonymous

yes, but now im lost where did you get these number fomr?

- amistre64

trying to convert radians to degrees;
radians normally have a pi in them so you multiply by 180/pi to get the angle..
pi 180
-- * ----- = 90 degrees
2 pi

- amistre64

12 180
--- * ---- = 216/pi = 68.75
10 pi

- anonymous

oh :o

- amistre64

since the angle is acute; we can assume that our method was correct;

- amistre64

so I get 10.81
whats the answer you get?

- anonymous

10.8 :)

- amistre64

then the area of the segment should be 10.8 :)

- anonymous

thank you soo much for explaining this :)
if i could i would have wanted to give you some more medals but i can only give you one :S

- amistre64

'sok; you enjoy yourself now :) i got class starting soon

- anonymous

bye bye :)

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