Questions on Geometry: Polygons answered by real tutors!

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Tutors Answer Your Questions about Polygons (FREE)


Question 344835: Which of the following cannot be the measure of 1 exterior angle of a regular polygon?
A) 2 B) 20 C) 25 D) 51 and 3/7 E) 120

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Question 345632: find the number of sides of a polygon whose sum of angles is 3780 degrees
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Question 346811: the measure of each interior angle of a regular polygon is 3 times the measure of each exterior angle. How many sides does the polygon have? how to solve?
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Question 347241: What is the name of a figure that has 2 sides that measure 25 feet each and 2 sides that measure 10 feet each?
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Question 347283: i need to know when a convex polygon is regular. always, never, or sometimes?
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Question 347934: Find the perimeter of a polygon with side lengths of 5 1/4ft, 3 3/8ft, 3ft, 2ft, and 7ft.
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Question 348496: A regular polygon of 17 sides has vertex angles which measure how many degrees?
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Question 348936: A regular polygon has an exterior angle measure of 18. How many sides does the polygon have?

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Question 348939: the measure of an interior angle of a regular polygon is given. find the number of sides.
1)120
2)108
3)135

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Question 348945: the floor of a gazebo is in the shape of a regular polygon. The measure of an exterior angle of the gazebo floor is one third the measure of an interior angle.
How many sides does the gazebo have? Show work or explain in words how this was determined.
* There is a diagram to this question.
In words it looks like... if you turn the paper to landscape form, the diagram looks like a k without the bottom \ then turning he paper portrait there is an "x" on the left side if the diagram and "x" over 3 on the right.

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Question 349211: how do I draw the triangles in a hexagon?
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Question 349199: It is possible for the exterior angles of a regular polygon to measure 30
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Question 349622: HOW MANY SIDES DO A POLYGON WITH THE SUM OF 160 HAVE?

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Question 349788: How many sides does a regular polygon have if each interior angle measures 90 degrees?
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Question 350347: Can you help me with this homework question?
Here it is: True or False? If a polygon has 20 sides, then it will have less than 100 diagonals.

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Question 350570: The lengths (in inches) of two sides of a regular pentagon are represented by the expressions 5x - 27 and 2x - 6 . find the length of a side of the pentagon
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Question 350631: Two vertices of a regular quadrilateral are A (0,4) and B (0,-4) which of the following could be the other two vertices ?
1 C(4,4)and D(4,-4) 2 C(-4,4)and D(-4,-4) 3 C(8,-4)and D(8,4)
4 C(0,8)and D(0,-8)

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Question 352956: If a polygon has 50 sides how many diagonals will it have?
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Question 353213: if a figure has 14 sides, how many diagonals does it have?
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Question 353213: if a figure has 14 sides, how many diagonals does it have?
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Question 355126: The vertex is in the exterior of the angle? True or false? I'm thinking true but am unsure. Please help. thank you.
Click here to see answer by Fombitz(13828) About Me 

Question 357031: Find the sum of all angles in a n-sided polygon (n ≥ 3).
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Question 358176: A regular polygon has an exterior angle that measures 18. how many sides does the polygon have?
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Question 358247: Is there a easy way to remember what to do with each problem? Because I don't know which ones to divide 360 on or to subtract 180 on. So is there an easier way or method to remember how to do polygons? I love Geometry this is just challeging to me!
Thanks!

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Question 360529: four interior angles of a pentagon each measure 110. what is the measure of the fifth interior angle?
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Question 362249: How many sides does a polygon have if its angle sum is 1080 degrees?
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Question 362726: if a regular polygon has 15 side
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Question 362687: What is the greatest area for a shape with a perimeter of 70ft
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Question 363101: how many degrees are the exterior angles of a 25-gon
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Question 363101: how many degrees are the exterior angles of a 25-gon
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Question 363107: Determine whether each set contains measures of the side lengths of a triangle?
A.(2,3,1) B. (2,3.4) C. (2,2,3) D. (18,30,24)
and which of sets contains side lengths of a triangle?

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Question 364110: I need help with this,
The sum of the measures of the first three interior angles of a pentagon is 345 degrees. The mesure of the fourth angle is the average of the measures of the first three. Find the measure, in degrees, of the fifth angle.

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Question 364610: how would you find the sum of angles in a 50 gon?
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Question 365040: A polygon has 44 diagonals.Number of sides = ?
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Question 365132: how do you find the exterior angle of a polygon? for example: for a decagon?
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Question 366039: If the perimeter of a regular hexagon is equal to 6 a, then the area of this hexagon if given by
A) 6 a^2 B) 3 a^2 c) 0.5 √ 3 a^2 D) √ 3 a^2 E) 1.5 √ 3 a^2

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Question 366498: a rectangle has a width of 10 centimeters. the length is three times as long as the width. what is the lenght of the diagonal? round to the nearest hundredth.
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Question 366495: the diagonal of a rectangle measures 62.2 millimeters. the length is five times as long as the width. what is the width of the rectangle?
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Question 366958: The radius of a circle is 23.
I believe this makes the circumference of the circle equal to 1661.06
A regular polygon must be circumscribed about this circle.
The length of one side of this polygon is 2.6
How do I find the number of sides of this circumscribed polygon?
Is there going to be a portion of the circumference that will have to have a side length a little shorter, so that all sides of the polygon are tangent?
Thank you for any help you can give.
Sincerely,
Janet

Click here to see answer by stanbon(57282) About Me 
Question 366958: The radius of a circle is 23.
I believe this makes the circumference of the circle equal to 1661.06
A regular polygon must be circumscribed about this circle.
The length of one side of this polygon is 2.6
How do I find the number of sides of this circumscribed polygon?
Is there going to be a portion of the circumference that will have to have a side length a little shorter, so that all sides of the polygon are tangent?
Thank you for any help you can give.
Sincerely,
Janet

Click here to see answer by Alan3354(30993) About Me 

Question 366875: In the quadrilateral above, the measure of W is 111°, the measure of X is 96°, and the measure of Y is 83°. What is the measure of Z?

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Question 367460: The measure of each angle of a regular polgon is 170. How many sides does the polgon have?
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Question 368731: HRSE is a kite. What are the coordinates of point R?
H(-5,0);R(?,?);S(10,0);E(0,8)

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Question 368996: If a regular polygon whose exterior angle equal 35 how many sides does the polygon have
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Question 368997:
Find the area of a regular hexagon with the given measurement.
48-inch perimeter
A = sq. in.

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665