#### I need help with circles in number lines.

I want to know what each circle means and when to use them.

Jareth Delgado

0

I want to know what each circle means and when to use them.

Qalaxia Master Bot

-2

I found an answer from en.wikipedia.org

**Mathematics** - Wikipedia

**Mathematics** includes the study of such topics as quantity, structure, space, and
change. Mathematicians seek and use patterns to formulate new conjectures; ...

For more information, see **Mathematics** - Wikipedia

Mahesh Godavarti

2

The circles (actually the term used is dots) are used to indicate whether the number circled is included in the inequality or not.

For example, if you are plotting x \geq 2 , you would highlight the portion of the number line that lies to the right of the number 2, but you would circle with a filled circle. This shows that x = 2 is part of the solution.

If you are plotting x \gt 2 , you would highlight the portion of the number line that lies to the right of the number 2, but you would use an empty circle to highlight the number 2. This shows that x = 2 is NOT part of the solution.

Play with this more at

https://www.mathwarehouse.com/number-lines/graph-inequality-on-number-line.php

Qalaxia Master Bot

-2

I found an answer from www.youtube.com

5 **MATH** TRICKS THAT WILL BLOW YOUR MIND - YouTube

Nov 5, 2016 **...** Hi everyone! **Mathematics** is one of the basic school subjects. But while some
people find exact sciences enlightening, others consider them to ...

For more information, see 5 **MATH** TRICKS THAT WILL BLOW YOUR MIND - YouTube

Qalaxia QA Bot

-2

I found an answer from www.quora.com

Why do we **use** Pi **for** finding the area of **a circle**? - Quora

In Geometry, **for** computing the area, perimeter or any other property of **a** certain
shape, we ... Initially, the **circles**' circumference was measured roughly **using**
threads. ... Aryabhatta **defined** the irregularity of this ratio to be an Irrational
**Number**. ... **Learn** More ..... Let's consider **a line** that passes through the center of
the **circle**.

For more information, see Why do we **use** Pi **for** finding the area of **a circle**? - Quora

Qalaxia QA Bot

-2

I found an answer from math.stackexchange.com

geometry - **A circle** with infinite radius is **a line** - Mathematics Stack ...

Nov 15, 2011 **...** In Inversive Geometry, **circles** and **lines** are considered the same. ... **For a** smooth
curve (that is, no sharp turns) in the plane there is the notion of its ..... **Using** this
**definition**, **a line** is just **a circle**, and the only reasonable value to .... We **see**, on
Euclidean plane, **each** (unterminated) **line** of constant curvature ...

For more information, see geometry - **A circle** with infinite radius is **a line** - Mathematics Stack ...

Qalaxia QA Bot

-2

I found an answer from stackoverflow.com

**Number** of Sides Required to draw **a circle** in OpenGL - Stack Overflow

**For a** closed polygon with n sides, the angle is just (2*PI/n) radians. .... I've got an
algorithm to draw **a circle using** fixed function opengl, maybe **it**'ll **help**? **It's** hard to
**know** what you **mean** when you say you **want** to "approximate **a circle using** ...
calculate the **number** of **lines needed** to draw the **circle**, I just iterate between 0 .

For more information, see **Number** of Sides Required to draw **a circle** in OpenGL - Stack Overflow

Qalaxia QA Bot

-2

I found an answer from math.stackexchange.com

geometry - What is the maximum **number** of pieces that **a** pizza can ...

Jan 21, 2014 **...** Thank you **for** your **help**. ... This is **a** known problem: **it** is appropriately called the
**Circle** Cutting Problem. ... since we don't **want** to count the outer face which has
no pizza. .... **a** whole or already-sliced pizza, you divide **each** piece that you slice
.... Eg : **For** 3 cuts, Min pieces = 3+1 = 4 Max pieces = 1+2+3 = 6.

For more information, see geometry - What is the maximum **number** of pieces that **a** pizza can ...

Qalaxia Master Bot

-2

I found an answer from www.math.com

**Math**.com - World of **Math** Online

Free **math** lessons and **math** homework help from basic **math** to algebra,
geometry and beyond. Students, teachers, parents, and everyone can find
solutions to ...

For more information, see **Math**.com - World of **Math** Online

Qalaxia Master Bot

-2

I found an answer from www.mathplayground.com

**Math** Games | Give Your Brain A Workout!

**Math** games and more at MathPlayground.com! Problem solving, games, and
puzzles the entire family will enjoy.

For more information, see **Math** Games | Give Your Brain A Workout!

Qalaxia Master Bot

-2

I found an answer from www.khanacademy.org

Khan Academy **Math**

Learn second grade **math**—addition and subtraction with regrouping, place value
, measurement, shapes, and more. (aligned with Common Core standards).

For more information, see Khan Academy **Math**

Qalaxia QA Bot

-2

I found an answer from www.quora.com

If **a** straight line is an infinte **circle** and since the **number line** is **a** ...

There are some geometric spaces where straight lines are “**circles** of infinite
radius”. ... **number line** is **a** straight line wouldn't that **mean** that **it** is also an infinite
**circle**? ... the geometric space likely has to include **a** point 'at infinity' **for them** to
pass .... infinite radius then why we **use a number line** rather than **a** number **circle**
?

For more information, see If **a** straight line is an infinte **circle** and since the **number line** is **a** ...

Qalaxia QA Bot

-2

I found an answer from mathworld.wolfram.com

**Circle**-**Circle** Intersection -- from Wolfram MathWorld

**Number** Theory ... The intersections of two **circles determine a line** known as the
radical **line**. ... intersect in **a** region shaped **like** an asymmetric lens. ... area of the
asymmetric "lens" in which the **circles** intersect, simply **use** the formula **for** ... twice
, one **for each** half of the "lens. ... Hints **help** you try the next step on your own.

For more information, see **Circle**-**Circle** Intersection -- from Wolfram MathWorld

Qalaxia Master Bot

-2

I found an answer from www.ixl.com

IXL **Math** | Learn **math** online

Discover thousands of **math** skills covering pre-K to 12th grade, from counting to
calculus, with infinite questions that adapt to each student's level.

For more information, see IXL **Math** | Learn **math** online

Qalaxia Master Bot

-2

I found an answer from developer.mozilla.org

**Math** - JavaScript | MDN

Jul 14, 2018 **...** **Math** is a built-in object that has properties and methods for **mathematical**
constants and functions. Not a function object.

For more information, see **Math** - JavaScript | MDN

Qalaxia Master Bot

-2

I found an answer from docs.python.org

**math** — **Mathematical** functions — Python 3.7.2 documentation

It provides access to the **mathematical** functions defined by the C standard. ... to
learn quite as much **mathematics** as required to understand complex numbers.

For more information, see **math** — **Mathematical** functions — Python 3.7.2 documentation

Qalaxia Master Bot

-2

I found an answer from www.act.org

The ACT Test **Math** Practice Test Questions | ACT

Five sets of free The ACT **Math** practice test questions that you can use to
familiarize yourself with the test instructions and format.

For more information, see The ACT Test **Math** Practice Test Questions | ACT

Qalaxia Master Bot

-2

I found an answer from www.corestandards.org

**Mathematics** Standards | Common Core State Standards Initiative

The **math** standards provide clarity and specificity rather than broad general
statements. They endeavor to follow the design envisioned by William Schmidt
and ...

For more information, see **Mathematics** Standards | Common Core State Standards Initiative

Qalaxia Knowlege Bot

-2

I found an answer from en.wikipedia.org

**Number line** - Wikipedia

**For** advanced topics, **see** Real line. In basic mathematics, **a number line** is **a**
picture of **a** graduated straight line that serves as abstraction **for** real numbers,
denoted ... This gives **a** result that is 3 combined lengths of 5 **each**; since the
process ... In such **a** logarithmic scale, the origin **represents** 1; one inch to the
right, one has ...

For more information, see **Number line** - Wikipedia

Qalaxia Knowlege Bot

-2

I found an answer from en.wikipedia.org

**Circle** of latitude - Wikipedia

This projection first came into **use** in the 16th century by the Dutch. **A circle** of
latitude on Earth is an abstract east–west **circle** connecting all locations around
Earth (ignoring elevation) at **a** given latitude. **Circles** of latitude are often called
parallels because they are parallel to **each** ... **For** instance, on **a** Mercator
projection the **circles** of latitude are more widely ...

For more information, see **Circle** of latitude - Wikipedia

Qalaxia QA Bot

-2

I found an answer from mathworld.wolfram.com

**Circle** Division by **Lines** -- from Wolfram MathWorld

is the **number** of cuts, and **it** is always possible to obtain any **number** of ... **SEE**
ALSO: **Circle** Division by Chords, Plane Division by **Circles**, Plane ... §1.6 in The
Mathematica GuideBook **for** Graphics. ... Hints **help** you try the next step on your
own. ... the MathWorld Team, © 1999-2019 Wolfram Research, Inc. | Terms of
**Use** ...

For more information, see **Circle** Division by **Lines** -- from Wolfram MathWorld