Questions on Geometry: Polygons answered by real tutors!

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Question 752440: the interior angle of a regular polygon is 8 times as large as the exterior angle. calculate the number of sides of a polygon
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Question 752463: How to solve this question?
Each interior angle of a Regular polygon is 170 Degrees. Calculate the number of sides in the polygon.
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Question 752341: a standard sign is a rectangle with measurement 36 in. by 12 in. The sheet metal they're to be made of measures 60 in. by 90 in. What is the maximum number of signs that can be made from the sheet metal.
I tried dividing the area of the signs (432 in. ) into the area of the sheet metal (5,400), and I get 12 with some leftover material. The question is multiple choice, though, and 12 is not an option. Only 5, 8, 9, and 10.
Click here to see answer by josmiceli(9697)

Question 752033: is it possible to draw a regular polygon with an interior angle of 115 degrees grade6 explanation
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Question 750879: 13/x+2 - 6/x squared + 2x
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Question 750743: if polygons of n sides has 1/2n(n-3) diagonals, how many sides will a polygon with 65 diagonals have? is there a ploygon 80 diagonal
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Question 749799: The interior angles of a regular polygon T measure 900. How many sides does t have?

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Question 749536: Each interior angle of a regular convex polygon measures 156°. How many sides does the polygon have?
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Question 747853: find the side length of a 15-sided regular polygon with apothem a=6 and area A= 282 square inches.
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Question 746810: if a polygon has 6 sides, find the sum of the interior angles
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Question 746807: what is the measure of each interior angle of a 40 sided polygon
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Question 746565: i have to find the area
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Question 746507: Find the area of the polygon. All angles in the figure are right angles. Sides are 21ft 6ft 21ft 9ft 9ft and 15ft
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Question 746202: A convex polygon has 7 sides, what is the sum of interior angles
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Question 745953: Two polygons are similar with the longest side of one 8 and the longest side of the other 10. Find the ratio of the areas.
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Question 745698: I am having a brain freeze, I am 60 yrs old and working with some wood. I have a six sided light house . I need to replace the base boards . What is the exact angle I need to cut the wood .
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Question 745457: In a regular polygon each interior angle is 140 degrees greater than each exterior angle. Calculate the number of sides of the polygon. How can i solve this?
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Question 745052: The perimeter of a regular polygon is 48 and its apothem is 6.What is the area of the polygon?
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Question 744957: The measures of an exterior angle of a regular n-gon is 72 degrees. classify the polygon by number of sides.
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Question 744948: So I have determined that by using Leonhard Euler's formula for polygon division
T(6) = 14
T(7) = 42 and
T(8) = 132
however I am confused about how T(n) changes when you ignore distinct vertices.
Could you explain how to find T(n) while ignoring said vertices.
Note: I'm not looking for the answer but rather an explanation on how to reach the answer.
Thanks!
Click here to see answer by rothauserc(210)

Question 744396: its asking me to find the values of X and Y of the two similar polygons. i dont know how to do that can you help? the angles are : 60degress 18, 22, ydegress, 12, x+4
Click here to see answer by stanbon(57399)

Question 741819: If a certain measurement of a polygon is 612 in2, it means:? Can I please have help solving this? I tried answering it but I can only think that it is squared.
Click here to see answer by fcabanski(874)

Question 741792: A circle is circumscribed about a regular nonagon. What is the measure of the arc between each pair of consecutive vertices? Round to nearest hundredth if necessary
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Question 740789: a = 33, b = 11, c =
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Question 740789: a = 33, b = 11, c =
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Question 740778: I have no clue as to how to answer this question! please help!
If the sum of the measures of the interior angles of a convex n-gon is equal to the sum of the measures of the exterior angles, how many sides does the n-gon have?
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Question 740790: a = 5, b = 12, c = ____
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Question 739768: So I have a parallelogram (the top is A B the bottom is D C) and angle A says (3x+10)andlge B says (8x+5) angle D says 5y. angle C says nothing. I was wondering how I am supposed to solve this when andlge D and B have diff letter names and nothing matches A. Thanks:)
Click here to see answer by rothauserc(210)

Question 739054: For this exercise, consider a circle of radius 1, and corresponding inscribed and circumscribed polygons with the number of sides n = 3, 4, 5, 6, and 8.
For each n = 3, 4, 5, 6 & 8, what are the perimeters of the inscribed and circumscribed polygons with n sides?
Click here to see answer by KMST(1874)

Question 738463: if someone says the length is 40 what is a perminator of a hexagon
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Question 736061: what is the difference between finding the sum of the interior angles of a polygon and finding the sum of the exterior angles of a polygon.

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Question 735774: how do i find the perimeter and are of the polygon 35m, 14m, 29m, 14m? and in the middle it has 8m?

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Question 735286: What is the length of one side of a regular pentagon if its perimeter is 20 cm?
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Question 735266: The diagonal of a square is 56 centimeters long. Find the perimeter of the square to the nearest tenth.
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Question 735263: which statement is NOT true for all rectangles?
A. The diagonals are congruent and bisect each other.
B. Opposite sides are congruent and parallel.
C. The diagonals are perpendicular.
D.Opposite anglers are congruent.
Click here to see answer by solver91311(16897)

Question 735260: casey has a 13 inch television and a 52 inch television in her home. What is the ratio of the sizes of the smaller and larger tvs?
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Question 733811: 3. If a hexagon has a radius (center to point of angle) of 6, what is the side of the hexagon?
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Question 729701: what is the exterior angle of a Enneadecagon?
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Question 729078: For the trapezoid shown, the ratio m
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Question 728680: A regular pentagon and a regular hexagon share a vertex, as shown below.
What is the value of the angle measure (7x − 19)°, in degrees?
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Question 727836: regular hexagon ABCDEF with diagonal AC and exterior angle 1
Prove: m<2+m<3=m<1
**Note <2 is located at I would place greater value on understanding the method rather than just the answer. Please help
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Question 727547: how do you work out sides of regular pentagon
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Question 727538: Quadrilateral ABCD has vertices A( -6, -2 ), B( 0, -2), C( 4, 2), and D( 2, 6). What type of quadrilateral is ABCD? Explain your reasoning.
Click here to see answer by richwmiller(9143)

Question 726765: John is drawing a regular polygon. He has drawn two sides with an exterior angle measure of 45°, as shown below.
When John completes his regular polygon, what will be the sum, in degrees, of the measures of the interior angles?
Click here to see answer by Alan3354(30993)

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