arc: a curved line that is part of the circumference of a circle

• chord: a line segment within a circle that touches 2 points on the circle.

• circumference: the distance around the circle.

• diameter: the longest distance from one end of a circle to the other.

• origin: the center of the circle

• pi (): A number, 3.141592…, equal to (the circumference) / (the diameter) of any circle.

• radius: distance from center of circle to any point on it.

• sector: is like a slice of pie (a circle wedge).

• tangent of circle: a line perpendicular to the radius that touches ONLY one point on the circle.

Useful Definitions is from: Circles - Math, Example & Games | Circles.org Circles.org

A circle is a type of line. Imagine a straight line segment that is bent around until its ends join. Then arrange that loop until it is exactly circular – that is, all points along that line are the same distance from a center point.
There is a difference between a circle and a disk. A circle is a line, and so, for example, has no area – just as a line has no area. A disk however is a round portion of a plane which has a circular outline. If you draw a circle on paper and cut it out, the round piece is a disk.
The circumference of a circle is the actual length around the circle which is equal to 360°. Pi (p) is the number needed to compute the circumference of the circle.
p is equal to 3.14. Pi is greek and has been around for over 2000 years!

Introduction to circles is from: Circles - Math, Example & Games | Circles.org Circles.org

1. If a radius of a circle is perpendicular to a chord, then the radius bisects the chord.
Here’s a graphical representation of this theorem:

2. In a circle or in congruent circles, if two chords are the same distance from the center, then they are congruent.

Chords & Radii is from: Circles - Math, Example & Games | Circles.org Circles.org

For example, if a circle has a radius of 3, the circumference of the circle is 6(PI).

Also, you can find the length of any arc when you know its degree measure and the measure of a radius with the following formula (L = length, n = degree measure of arc, r = radius): L = (n/360)(2(PI)r).

Circumference is from: Circles - Math, Example & Games | Circles.org Circles.org

Area of Circle:
area = PI r2

Length of a Circular Arc: (with central angle )
if the angle is in degrees, then length = x (PI/180) x r
if the angle is in radians, then length = r x

Area of Circle Sector: (with central angle )
if the angle is in degrees, then area = (/360)x PI r2
if the angle is in radians, then area = ((/(2PI))x PI r2

Equation of Circle: (Cartesian coordinates)

for a circle with center (j, k) and radius (r):
(x-j)^2 + (y-k)^2 = r^2

Equation of Circle: (polar coordinates)
for a circle with center (0, 0): r() = radius

for a circle with center with polar coordinates: (c, ) and radius a:
r2 – 2cr cos( – ) + c2 = a2

Equation of a Circle: (parametric coordinates)
for a circle with origin (j, k) and radius r:
x(t) = r cos(t) + j y(t) = r sin(t) + k

Main Circle Equations is from: Circles - Math, Example & Games | Circles.org Circles.org

Time will tell if I’ll take the homeward track
Dizziness will make my feet walk back, walk right back to you.

Everything I do, I think of you
No matter how I try, I can’t get back

These circles, leading me back to you

Round and around and around and a…

round and round like a fool I go
Down and down in the pool I go
Draggin’ me down

Just one thing could kill the pain of losin’ you

But it gets me so dizzy that I’m walkin’ right back again
Back to you

Time will tell if these dreams are near his plan
Though I left I’m comin’ back
Comin’ on back to you

Down and down in the pool I go
Draggin’ me down

Circles by The Who lyrics is from: Circles - Math, Example & Games | Circles.org Circles.org

Circles, goin round in circles
Circles, goin round in circles

Out a my head
That’s where I’m going
Tryin so hard to deal with you
It’s not so easy try’n to bare these changes
That you’re puttin’ me thru
In my head there’s a ball of confusion
And I can’t figure out just what to do
I guess my life will keep on going round and round
Until I get away from you

Circles by Atlantic Starr lyrics is from: Circles - Math, Example & Games | Circles.org Circles.org

[Chorus:]
You got me going in circles
Oh, around and around I go
You got me going in circles
Oh, around and around I go

[Verse 1:]
First you go and tell me this
then you go and doin that
its mixed signals in my head
you neva give me straight facts
comin at me with these stories
taken up a playa time
you seem confused up in yo head and
you cannot make up ya mind
I’d be the first one to listen
but i think its disrespect
lyin through your teeth, talkin’ out da side of ya neck
got me goin round and round
make a playa wanna hurt ya
thinkin that you was straight up
got me goin in a circle

[Verse 2:]
Ay, my head is constantly spinnin, twistin
cuz now this boys trippin on me
first off we all lovey-dovey
and now he call me his homie
wishy-washy kinda feelins
tryna play wit my emotions
and mumble the words I LOVE U
when they say that he was jokin
STUCK-UP in the mind
tough love is what its called and
I don’t read between the lines
so now u need to get the talkin
spell it out and make it clear
dont tell me what i wanna hear
yes or no jus gon and say it
cuz inside I’m goin crazy…

[Chorus]

I’m strung out over you (you, ova you…)

[Verse 3:]
Yes he relaxes me, satisfactory,
treat me like a queen
it was love at first sight on that night
once i stepped on the scene
now my body once i got it
fulfillin all my needs
he had me fiendin’, obscenein’
I mean it
jus smellin his breeze
i really want him, yes i want him
but the law disagrees
our loves illegal certain people
man I wish they could see me
he got me goin in circles
as dizzy as i wanna be
down thru my toes
deep in my soul
man i want him badly

[Verse 4:]
Ay, shawty got me spinnin
like i drunk tha whole fifth
Waitin on my babygurl to call I need a lift
hataz hatin out the rip
but cant save my ship
love the way that jam wobble
in a thong thats a gift
bring that blessin ova here,
let me push yo button
I’ma real gangsta shawty, don’t worry bout nothin
5 hours straight bussin unconditional lovin
and can tell the whole click
this one here, I’m cuffin…

[Chorus]

I’m strung out over you (I need you, ova you…)

Circles by Crime Mob Lyrics is from: Circles - Math, Example & Games | Circles.org Circles.org

[chorus]
I don’t need to walk around in circles,
Walk around in circles, walk around in circles,
Walk around in…
Don’t need to walk around in circles,
Walk around in circles, walk around in circles,
Walk around in…
When the ghostly dust of violence traces everything,
And when the gas runs out just wreck it, you insured the thing.

[chorus]
I don’t need to walk around in circles,
Walk around in circles, walk around in circles,
Walk around in…
Don’t need to walk around in circles,
Walk around in circles, walk around in circles,
Walk around in…

Doom da doom da doom
What I’m doing I’m doing
[x4]

But I can’t sigh now that you made the move.
It has gone and gone to dogs, lay down on the floor,
For the right price I can get everything.
Slip into the car, go driving to the farthest star.

[chorus]
I don’t need to walk around in circles,
Walk-a, in circles, walk around in circles,
Walk around in-a…

Don’t need to walk around in circles,
Walk around in circles, walk around in circles,
Walk around in…[x2]

Circles by Soul Coughing Lyrics is from: Circles - Math, Example & Games | Circles.org Circles.org

Chorus:
I was running in circles,
I hurt myself,
Just to find my purpose.

Everything was so worthless,
I didn’t deserve this,
But to me you were perfect.

I’m scattered through this life.
If this is life I’ll say good bye.

She’s gone like an angel,
With wings let me burn tonight.

Chorus
I was running in circles
I hurt myself,
Just to find my purpose.

Everything was so worthless,
I didn’t deserve this,
But to me you were perfect.

Johnny 3:
I see me writin on this paper.
Prayin for some savior.
Wishin to intake her and save her.

In a world so, so godless so thoughtless,
I don’t know how we wrought this,
All the love that you brought us.

It feels like I’m killin myself.
Just willin myself.
Just to pray for some help.

I’d give it all just to have, have your eternity.
Cause it’s all that assures me.
It’s worth all that hurts me.
I’d give you my heart,
And I’d let you just hold it.
I’d give you my soul,
But I already sold it.

On that day,
That day I walked away in December.
I will always remember.
I’ll regret it forever.

I remember brown eyes,
So sad and blue skies.
Turned to darkness and night.
I’m so sick of the fight.

I won’t breathe unless you breathe,
Won’t bleed unless you bleed.
Won’t be unless you be,
‘Till I’m gone and I can sleep.

Chorus
I was running in circles
I hurt myself,
Just to find my purpose.

Everything was so worthless,
I didn’t deserve this,
But to me you were perfect.

Chorus
I was running in circles
I hurt myself,
Just to find my purpose.

Everything was so worthless,
I didn’t deserve this,
But to me you were perfect.

Tha Producer:
I’ve gone away,
Seen better times in yesterday (I hurt myself).
It’s hard to say,
That everything will be okay (I hurt myself).

I’ve gone away,
Seen better times in yesterday (I hurt myself).
It’s hard to say,
That everything will be okay (I hurt myself)

Hollywood Undead is from: Circles - Math, Example & Games | Circles.org Circles.org