Question

Explain, using complete sentences, why an inscribed circle will only work within a regular polygon.

Answer 1

Anyone?

Answer 2

Hmmm, well if a polygon is not regular, than I suspect that one of the angles are not going to be equidistant from the center.

Answer 3

I know for a circumscribed that the angles have to be supplementary

Answer 4

Then, rather than using the angles, how about the midpoints between the angles?

Answer 5

What about a trapezoid?

Answer 6

Is it because they will the points will pass the points?

Answer 7

I'm curious about this... why wouldn't you be able to inscribe circles for a trapezoid?

Answer 8

I'm asking you

Answer 9

Why don't you first define inscribe.

Answer 10

Me?

Answer 11

Yes

Answer 12

It's when you make a circle inside of the polygon and the circles is a perfect circle

Answer 13

It has to touch every side

Answer 14

every side of the polygon must touch the circle

Answer 15

Like this number 3

Answer 16

What?

Answer 17

Consider the following picture a counter example, using your definition of inscribe.

Answer 18

The polygon is clearly not regular and yet it can be inscribed into it.

Answer 19

My bad I meant 5 or more

Answer 20

sides

Answer 21

There it has 6 sides another counter example.

Answer 22

How is that helping me

Answer 23

Your question can't be answered, because its a false claim.

Answer 24

I'm just confused on this topic and you are getting me more confused

Answer 25

It's a question for my assignment

Answer 26

You can't explain it, because it simply isn't true.

Answer 27

I'll obviously get it wrong

Answer 28

From the way your question is written its likely, you miss interpreted the assignment.

Answer 29

you mean a polygon with 5 sides or above, if its not regular, then inscribed circle is not possible... is that we're supposed to justify ?

Answer 30

Yes

Answer 31

Or, the statement is like this :- Any regular polygon can have an inscribed circle ?

Answer 32

yeah the former statemetn looks false to me

Answer 33

So The question that I have to answer has no answer?

Answer 34

not sure, I'll have to think a bit more..

Answer 35

Yes, look at the counter examples for yourself, though I have a feeling your miss translating something, I don't think anyone would formally write out "an inscribed circle will only work within a regular polygon".

Answer 36

yeah ive never seen it before also...

justifying below is easy.
Any regular polygon can have an inscribed circle.

but forming conclusion on your q as-it-is is a bit involved...

Answer 37

I copied and pasted the question

Answer 38

Six:

Explain, using complete sentences, how you can determine whether or not a circle may circumscribe a quadrilateral. (5 points)

Seven:

Explain, using complete sentences, why an inscribed circle will only work within a regular polygon. (5 points

Answer 39

Here's the question above too

Answer 40

I already have the answer to that

Answer 41

Just need 7

Answer 42

lol who wrote that, your high school teacher?

Answer 43

i dont see 5 sides and above constrain in the q ?

Answer 44

It was taught in the lesson

Answer 45

No FLVS

Answer 46

FLVS?

Answer 47

oh this is FLVS assignment... ? I have access to flvs geometry. this from module 5 is it ?

Answer 48

What are you people talking about..

Answer 49

i can double check the actual q if u want

Answer 50

module 5? flvs?

Answer 51

Module 8 Lesson 7

Answer 52

Online class

Answer 53

what lesson

Answer 54

where are you geting this stuff from

Answer 55

Florida Virtual School

Answer 56

is what FLVS stands for

Answer 57

Not lesson 7 I meant lesson 3

Answer 58

Well who ever wrote the question might have had something else in mind, but as it stands the claim is just false it looks like it was written by someone who doesn't speak English, particularly that bit about "will only work".

Answer 59

ok il go thru it and get back. but surely the question is incorrect.... but the context in which the q is asked can be different. move on to next q... :)

Answer 60

Here's another counterexample with 5 sides http://magoosh.com/gmat/files/2012/08/c4_img2.png

Answer 61

That's my last one ;(

Answer 62

It's Geometry Honors

Answer 63

anyone?

Answer 64

I got the answer guys

Answer 65

It says this on FLVS
Can an inscribed circle exist within an irregular polygon with four or more sides?
No! Remember that in order for an inscribed circle to exist, each side must be a tangent to the circle. In other words, the circle must intersect each side of the polygon exactly one time at a 90° angle. In an irregular polygon, not all of these conditions are met. Therefore, inscribed circles will only exist in triangles or regular polygons with four or more sides.

Why do you think this happens? What makes a triangle so special? Well, a triangle has three sides. That means there are only three points through which a circle must be drawn. When you increase the number of sides, you increase the number of points that must contain the circle. Just like you need only two points to draw a line, you need only three points to draw a circle

Answer 66

@Jack191 @ganeshie8

Answer 67

Sorry Im really pretty lazy now, I can't be asked to read that whole thing.

Answer 68

Read the first paragraph

Answer 69

next dba, show the counter examples to your teacher and get clarity on the text... they may need to correct the material unless we all are grossly missing something...

Answer 70

Okay

Answer 71

My DBA is tomorrow

Answer 72

cool :) good luck !

Answer 73

@ganeshie8 can you help me with something else?

Answer 74

sure ask, im glad to help if i can :)

Answer 75

Or are you busy?

Answer 76

Okay thanks

Answer 77

Determine the delivery radius for your shop. Draw a point on a coordinate plane where your shop will be located. Create two different radii lengths from your shop, and construct the circles that represent each delivery area.

How much area will each delivery radius cover?
Write the equation for each circle created.
Please show your work for all calculations.

Answer 78

i have time

Answer 79

What is it asking?

Answer 80

I don't understand

Answer 81

8.07

Answer 82

is the chapter