anonymous
  • anonymous
Circles !!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1332961630235:dw|
anonymous
  • anonymous
how do i find x?
anonymous
  • anonymous
What is \[x^2-5x?\]

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anonymous
  • anonymous
its the angel of ARC PQ
anonymous
  • anonymous
angle
anonymous
  • anonymous
what do you mean
experimentX
  • experimentX
what is 4x
anonymous
  • anonymous
its the angle od CQR sorry i forgot to label C . C is the middle
anonymous
  • anonymous
angle of*
anonymous
  • anonymous
Answer is 13 degrees
experimentX
  • experimentX
solve this 2(4x) = x^2−5
anonymous
  • anonymous
how did u get 13? and why are you multiplying 2 by 4x?
anonymous
  • anonymous
QCR=180-PCQ and also QRC=4x.So add all anges to get 180. 180-(x^2-5x)+8x=180.Solve this to get angle as 13 degrees
anonymous
  • anonymous
QRC is 4x because it is an isosceles triangle i.e.QC=CR
anonymous
  • anonymous
how do you know its an isosceles?
anonymous
  • anonymous
QC=CR=Radius of the circle
experimentX
  • experimentX
best of luck people
anonymous
  • anonymous
oh!!!
anonymous
  • anonymous
ok hold on let me solve it
anonymous
  • anonymous
what about QR? that little part left because of the triangle. that doesnt matteR?
anonymous
  • anonymous
where QR is i mean
anonymous
  • anonymous
& why is it 8x? shouldnt it be 12x? cuhs there are 3 angles in the triangle??
anonymous
  • anonymous
That doesn't matter all we need to figure out is that the triangle is isosceles hence QCR is 4x because what we want are the angles.The other side if you want you can find out using the cosine rule if you want but you don't need it here
anonymous
  • anonymous
oh ok.
anonymous
  • anonymous
can you help me with another problem?
anonymous
  • anonymous
Sure
anonymous
  • anonymous
A clock with hour and minute hands is set to 1:00 PM. After 20 minutes, what will be the measure of the minor arc formed by the hour and minute hands? I have no clue what to do
anonymous
  • anonymous
Ok let me see
anonymous
  • anonymous
|dw:1332962908977:dw|
anonymous
  • anonymous
im sorry but i have no clue what that means or what you did.
anonymous
  • anonymous
Now the clock is divided into 12 parts.Total angle is \[2\pi\] radians so angle contained in each part is \[2\pi/12\]which is \[\pi/6\] Now here for the theta we need the arc encloses 3 parts so theta is (pi/6)*3
anonymous
  • anonymous
Length of the arc is radius*angle enclosed by arc
anonymous
  • anonymous
So now theta is pi/2 so length of arc=r*pi/2
anonymous
  • anonymous
where did you get pi from
anonymous
  • anonymous
Total angle in a circle is \[2\pi radians\]
anonymous
  • anonymous
Did you understand?
anonymous
  • anonymous
uhmm hold on. im looking at what you did
anonymous
  • anonymous
btw whats theta?
anonymous
  • anonymous
The angle enclosed by the arc
anonymous
  • anonymous
\[\Theta \] is theta
anonymous
  • anonymous
doesnt it enclose 4 parts?
anonymous
  • anonymous
|dw:1332963642646:dw|
anonymous
  • anonymous
|dw:1332963785550:dw|
anonymous
  • anonymous
isnt that after 20 mins?
anonymous
  • anonymous
|dw:1332963918728:dw|
anonymous
  • anonymous
The time is 1.20
anonymous
  • anonymous
Coincidentially the time here where I live is 1.20!Lol
anonymous
  • anonymous
OOHH ok
anonymous
  • anonymous
so can you explain what you did again ? i dont get how you got pi and R . did u use the circumference? C=2pi(r)?
anonymous
  • anonymous
No now the whole angle in the circle is 2 pi
anonymous
  • anonymous
And the arc encloses 3/12 th of that
anonymous
  • anonymous
how is the whole angle 2 PI?
anonymous
  • anonymous
360 degrees=\[2\pi\] radians.Radian is another way of measuring an angle. http://en.wikipedia.org/wiki/Radian
anonymous
  • anonymous
ohhhhhh. okay. but if i was to do everything you did & used 360 instead of 2 pi would it be wrong?
anonymous
  • anonymous
Yeah it would.The formula is valid only if the angle is measured in radians.
anonymous
  • anonymous
so, is the answer pi/2?
anonymous
  • anonymous
For example the whole angle inside a circle so length of arc by circle would be 2pi*r which is actually the circumference
anonymous
  • anonymous
No the angle enclosed is pi/2 the length of the arc is r*pi/2
anonymous
  • anonymous
& what is r? Radian?
anonymous
  • anonymous
No r is the radius.The formula is length of arc is the multiple of angle enclosed in radians and radius of the arc
anonymous
  • anonymous
http://en.wikipedia.org/wiki/Arc_(geometry)#Arc_length
anonymous
  • anonymous
oh ok . i think i get it now. thanks!
anonymous
  • anonymous
hey can you help me with 1 more? i cant solve it.
anonymous
  • anonymous
Sure go on
anonymous
  • anonymous
|dw:1332965496570:dw|
anonymous
  • anonymous
The plane intersects the sphere in a circle that has diameter 12. If the diameter of the sphere is 18, what is the value of x? Give ur answer in simplified radical form.
anonymous
  • anonymous
Ok sounds interesting.Let's see
anonymous
  • anonymous
I am not sure how to do this.Ill tell you if I get it
anonymous
  • anonymous
ok

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