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If the measure of one interior angle is 165 how many degrees are in the entire polygon?
Wiki User
∙ 14y ago
it depends on what the shape is.
Wiki User
∙ 14y ago
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How can you find the measure of the central angle with the sector area known?
It is found by: (sector area/entire circle area) times 360 in degrees
How is a circumference of a circle like the permeter of a polygon?
I'm not entirely sure what you are meaning to ask unless you simply aren't sure of the definitions of each. The circumference of a circle is the length of the entire edge of a circle. The perimeter of a polygon is the length of the entire edge of a polygon combined.
What is the measure of one interior angle of a 21-agon?
Assume each side forms the base of an isosceles triangle with its peak at the center, so the entire figure is 21 triangles with their tips all meeting. The center has 360 degrees divided by the 21 tips of the triangles, so each tip is 360/21 = 17.143 degrees. This means that the base angles of each triangle are 81.429 degrees (180 - 17.143 = base angles sum to 162.857, divide by two since they're congruent and each angle = 81.429 degrees). Since the interior angle equals the sum of the base angles of two adjacent triangles, the answer is 81.429 * 2 = 162.857 degrees.
The measure of an exterior angle of a regular decagon is degrees?
Short answer: The answer is 36. To get this, you simply take 360 degrees (the sum of all of the exterior angles) and divide it by how many angles there are (10).There is some confusion as to the definition of an exterior angle. What it is: The exterior angle is defined as the angle between one side of a regular polygon and an imaginary line extended from a side adjacent to the first side. To find the measure of a regular polygon's external angle, you can either a) subtract the measure of one internal angle from 180; or b) divide 360 by the number of sides in the polygon (as explained above). This makes the internal and external angles supplementary or equal to 180 degrees when added together.All exterior angles on a simple polygon, when added together, equal 360 degrees.What it is not: Many people believe that the external angle is the entire outward reflex angle (greater than 180 degree) which can be found by subtracting the internal angle from 360 degrees. These two angles would be conjugate (equal to 360 degrees when added together). It has very little practical application outside of geometry theory itself. (I'm going to get hammered for that -- I said "little" not "absolutely none.")How come I need to know this stupid stuff? First of all, you need it to pass your test. I assume you are reading this answer because you are cramming for a geometry test, right? Secondly, if you are going into anything that requires precision drawing (graphic design, drafting, construction, et al) then you need this because it is a cool shortcut to draw a regular polygon.Finding the angle to draw without external angles: Count the number of sides. Let's say there are 10 sides (as in our decagon). Subtract 2. Multiply by 180. (Durnit -- the numbers are getting big now). Divide the big number by the original number of sides (10). That's the degrees of your interior angle. Here's your formula where x=[interior angle] and a=[number of sides]:x = [180(a-2)] / ax = [180(10-2) / 10x = [180(8)] / 10x = 1440 / 10x = 144 degrees per angle.Now draw your shape. Blech. Messy, big numbers.Now try it with exterior angle shortcut: Count the number of sides. Divide 360 by the number of sides (the exterior angle). Subtract the answer from 180. There's the interior angle. Simple:x = 180 - (360/a)x = 180 - (360/10)x = 180 - 36x = 144 degrees per angle.We got to the same answer with smaller numbers and fewer steps. You're welcome. :)
What is the area of a shape with 900 sides a the same length 11 inches?
I will assume that it is a regular polygon (it isn't given if the interior angles are the same, but then the answer would not be a constant). 900 sides means 900 vertices which means 900 lines from the center and 900 congruent isosceles triangles formed by these lines. Now the polygon is 900*area of one triangle. The vertex of each isosceles triangle is 360o over 900, or 2/5o. We know the base to be 11 inches and find the height to be about 27.1 inches (using 5.5/tan(.2)). The area of one triangle is about 149.23. The area of the entire polygon is about 134305 square inches.
What is the measure of one interior angle of a regular octagon?
The measure of the entire interior of a regular decagon is 1440 degrees. 1440 divided by 10 equals 135 degrees. Therefore, 135 degrees is your final answer.
What is the measure of one interior angle of a pentagon?
The sum of the entire interior of a pentagon in 540 degrees. Therefore, 540 divided by 5 equals 108 degrees. In conclusion, 108 degrees is your final answer.
What is the measure of one interior angle of a regular pentagon?
The sum of the entire interior of a pentagon in 540 degrees. Therefore, 540 divided by 5 equals 108 degrees. In conclusion, 108 degrees is your final answer.
How can you find the measure of the central angle with the sector area known?
It is found by: (sector area/entire circle area) times 360 in degrees
How is a circumference of a circle like the permeter of a polygon?
I'm not entirely sure what you are meaning to ask unless you simply aren't sure of the definitions of each. The circumference of a circle is the length of the entire edge of a circle. The perimeter of a polygon is the length of the entire edge of a polygon combined.
What is the measure of one interior angle of a 21-agon?
Assume each side forms the base of an isosceles triangle with its peak at the center, so the entire figure is 21 triangles with their tips all meeting. The center has 360 degrees divided by the 21 tips of the triangles, so each tip is 360/21 = 17.143 degrees. This means that the base angles of each triangle are 81.429 degrees (180 - 17.143 = base angles sum to 162.857, divide by two since they're congruent and each angle = 81.429 degrees). Since the interior angle equals the sum of the base angles of two adjacent triangles, the answer is 81.429 * 2 = 162.857 degrees.
How many degrees are 8milirads?
A radian is a degree of measure where an entire circle is set equal to 2 x pi. If you use degrees, the circle is equal to 360 degrees. Therefore, each radian is equal to 180 / pi degrees, or about 57.30 degrees. Since milli means thousandths, a milliradian is about 0.05730 degrees.
Do flats and sharps affect an entire measure?
An accidental affects the entire measure after you see it.
I need some interior design ideas.?
The website www.home-designing.com/ has inspirational interior design ideas for the entire home. You can also visit www.hgtv.com for even more interior design ideas.
What is a meaning of whole note and whole rest?
Both are held for the full duration of a measure. A whole note is played for an entire measure, and a whole rest means the instrument is silent for an entire measure.
What is the area formula for a polygon?
It's different for every polygon. For example, for a triangle, it's (1/2) x (base) x (height). For a rectangle, it's (the entire) (base) x (height).
What is a summary measure that is computed to describe a characteristic of an entire population called?
a summary measure that is computed to describe a characteristic of an entire population is called:
