Questions on Geometry: Polygons answered by real tutors!

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Question 189194: What is the measure of each angle in a regular polygon with 18 sides?
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Question 189396: If the sum of the interior angles of a convex polygon is 2880 degrees, how many sides does the polygon have?
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Question 190904: The interior angle of a regular polygon is 160o how many sides has the polygon
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Question 191062: if the exterior angles of a convex polygon are x/13, 2x-1, 2x/6,2x+12,2x-17,3x-4,3x-10 and 4x calculate the smallest of eight angles.
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Question 191064: If the ratio of the lengths of corresponding sides of two similar triangles is 2 : 3, and the area of the smaller triangle is 36 in.2, what is the area of the larger triangle?
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Question 191270: If the areas of two similar decagons are 625 sq. ft. and 100 sq. ft., what is the ratio of the perimeters of the decagons?
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Question 191552: what is a polygon and vertx
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Question 191605: Draw a large angle that measures 140 degrees. Mark congruent lengths on the sides of the angle.
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Question 191612: OK SO the question is ... FInd the measure of one of the exterior angles of a regular polygon with nine sides.
What I tried was S=180(n-2) The steps I took was... S=180(7)
I kept getting 1260. But that is not an anwser. So what is the set up to use, Both to find number of sides and the measure of certain number of sides??
Click here to see answer by Mathtut(3670)

Question 191453: It is based on a diagram of a triangle and a circle - I really don't know how to send the diagram - that is why i have given the text book reference. I don't understand any of the problems in this section - so having a general rule will be helpful. Thanks
Click here to see answer by Mathtut(3670)

Question 192283: determine the measure of the interior angles for each of the regular polygons in the table. regular polygans Measure of interior angles
triangle 60 degrees
square
pentagon
hexagon
heptagon

thank you

Click here to see answer by Mathtut(3670)

Question 192567: tell whether the figure is a polygon. if its not, explain why. if it is a polygon, tell whether it is convex or concave
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Question 192605: What is the area of an equilateral triangle with apothem 5.8cm?
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Question 192615: What is the measurement of a regular polygon's interior angle if the figure has 18 sides?
Click here to see answer by yuendatlo(23)

Question 193097: Draw three different nonconvex polygons. When you walk around a polygon, at each vertex you need to turn either right (clockwise) or left (counterclockwise). A turn to the left is measured by a positive number of degrees and a turn to the right by a negative number of degrees. Find the sum of the measures of the turn angles of the polygons you drew. Assume you start at a vertex facing in the direction of a side, walk around the polygon, and end up at the same vertex facing in the same direction as when you started.

please I need help I dont think you have to draw this I believe it is 360degrees
But I am not ure how to explain how i came up with it.
Thank you
Click here to see answer by RAY100(1637)

Question 193357: Exam: Geometry Exam 4 E (Copy)

Assume that Hexagon ABCDEF is a regular polygon, all angles that look like right angles are, and that the perimeter is 120 units.

17. What is the area of hexagon ABCDEF?

A.
259.8 square units

B.
519.6 square units

C.
1039.2 square units

D.
2078.4 square units

Click here to see answer by RAY100(1637)

Question 193520: 1. What is a polygon? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each.
2. We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem.

Click here to see answer by jim_thompson5910(28476)

Question 193886: One exterior angle of a regular polygon measures 24 degree.Wat is the sum of measures of its interior angles of a polygon?
Click here to see answer by stanbon(57214)

Question 194100: Please help me solve this problem.
A polygon has n sides. Two of its angles are right angles and each of the remaining angles is 144 degrees. Calculate n.
I have tried the equation 90(n-4) = (n-180)+ 144n but I cannot arrive at the correct answer. I would be very grateful if you could help me.

Thank you.
Click here to see answer by vleith(2825)

Question 194740: a+c/b+d=a-c/b-d and a/b=c/d
Show that the given proportions are equivalent...
Click here to see answer by RAY100(1637)

Question 194786: A regular hexagonal shaped target with sides of length 14 centimeters has a circular bull's eye with a diameter of 3 centimeters. What is the probability that a dart that hits the target will hit the bull's eye?
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Question 194933: Is this statement never true, sometimes true or always true: As the number of sides of a polygon increases, the sum of the exterior angles decreases.
I put never true since the sum of exterior angles is always 360 degrees. Is that right?
Click here to see answer by Mathtut(3670)

Question 195892: I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure...
Each interior angle of a regular polygon measures 156°. How many sides does the polygon have?
A: 13
B: 14
C: 15
D: 16
It's not 14, I can tell you that. I don't know why it's not 14 though.
thank you!! :)
Click here to see answer by Alan3354(30952)

Question 196099: how do I do this could you send me an example please.
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Question 196148: the pointof intersection of two sides of a polygon is called?
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Question 196271: find the measure of each exterior angle of a regular 45-gon???
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Question 196271: find the measure of each exterior angle of a regular 45-gon???
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Question 196331: a regular polygon has n sides. The sum of the interior angles of the polygon is 1260 degrees. find the number of degrees in each interior and exterior angle of this polygon. Also how sides does it have?

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Question 196757: In a regular polygon, the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 1 to 4. How many sides does the polygon have?
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Question 196940: The question is:
If each interior angle of a regular polygon measures 135°, the polygon must be
A) octagon
B) decagon
C) hexagon
D) pentagon
Click here to see answer by Edwin McCravy(8879)

Question 196955: make a regular hexagon of sides as you wish and divide them into six equilateral triangles and find its area ?
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Question 197008: I don't understand how to find the area of a polygon. Can someone help me?
Click here to see answer by Mathtut(3670)

Question 197414: A semicircle is attached to a triangle. It's diameter is 8cm and the triangles side are both 10cm. Calculate the perimeter and area.
Click here to see answer by Alan3354(30952)

Question 197605: Tell whether this statement is always, sometimes, or never true.
An equilateral polygon is regular.

Now I know this statement is true with triangles but I am not sure about any other polygons.
Click here to see answer by edjones(7569)

Question 185442: a polygon has n sides.two of its angles are right-angles.each of the remaining angles is equal to equal to 150 degrees.calculate n.
Click here to see answer by J2R2R(94)

Question 198094: Each interior angle of a regular polygon is 160°. Find the number of diagonals,
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Question 198103: an angle like angle 4 is known as an exterior angle of a polygon. it is formed between one side of the polygon and the extended part of another side. how many exterior angles are possible at each vertex of a given polygon? are their measures the same or different? how do i explain my answer???
Click here to see answer by stanbon(57214)

Question 198029: A bacteria culture grows continuously from 150,000 to 350,000 bacteria in 6 hours. At this rate, how long will it take for the population to grow from 150,000 to 1,000,000 bacteria?
Click here to see answer by arallie(162)

Question 198565: i am a educational assistant for the foothills school division in DeWinton, AB....
our grade 6 class have been working on this problem for a few days now and cannot seem to come up with the answer..
we are looking for a polygon that does not have a right angle but has one pair of parallel sides and one line of symmetry...is there such a shape?
Click here to see answer by solver91311(16868)

Question 198762: a polygon has fifteen sides. how many vertices does the polygon have?
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Question 198770: Can you help me solve:
Find the length of each side of a regular pentagon inscribed in a circle of radius 4 inches
Thank you!
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Question 198821: My question is how can I provide an example of day to day situation that involves right triangles and the use of theorem? This is not from the textbook, its just a discussion question.
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Question 199881: What is the sum of the measures of the interior angle of a polygon with seven sides
Click here to see answer by Alan3354(30952)

Question 200217: If the measure of one interior angle of regular polygon is 140 degrees how many sides does the polygon have?
Click here to see answer by rfer(12644)

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