You can measure angles in degrees. However, The other common measurement for angles is radians. For this measurement, consider the unit circle (a circle of radius 1) whose center is the vertex of the angle in question. Then the angle cuts off an arc of the circle, and the length of that arc is the radian measure of the angle. It is easy to convert between degree measurement and radian measurement. The circumference of the entire circle is 2 ( is about 3.14159), so it follows that 360° equals 2 radians. Hence, 1° equals /180 radians, and 1 radian equals 180/ degrees. Most calculators can be set to use angles measured with either degrees or radians. Be sure you know what mode your calculator is using.
Using the formula: (number of sides -2)*180 = sum of interior angles
Yes by using the formula: (n-2)*180 = sum of interior angles whereas n is the number of sides of the polygon
The sum of all the interior angles of a triangle is 180 degrees while the sum of the exterior angles is 360. you can calculate for the measurements of the interior angles of a polygon by using the formula S=(n-2)(180) where n is the number of sides
I assume you want the trigonometric functions. You can use the functions in the Math class. For example, if the variable "x" contains an angle, you can use Math.sin(x), Math.cos(x), etc., and if you want the angle from a sine stored in "y", Math.asin(y), etc. Note that, as in most programming languages, angles must be specified in radians. The Math class also contains functions to convert from degrees to radians, and from radians to degrees.
When measuring angles one does so using degrees, minutes, and seconds.We can also use radians.
Just as you can measure a distance in metres and centimetres or in feet and inches, you can measure angles in degrees or radians. You can either set your calculator to radians, or convert from radians to degrees using 1 radian = 180/pi degrees = 57.3 degrees approx or 1 degree = pi/180 radians.
Text is typed in at zero degrees. Using the alignment settings, you can then slant it. All angles are assumed to be in radians. There is no "degree mode" as in scientific calculators; instead, if you have an angle in degrees, you have to convert it to radians. For example, to get the sine of 30 degrees, calculate = sin(30 * pi() / 180). pi() / 180 is the conversion factor to convert from degrees to radians. Check in the math functions - there is also a function that converts degrees to radians. Since I have Excel in Spanish here, I don't know the exact name in English, but I'll assume it is radians. If this is so, the formula can also be: =sin(radians(30)).
You can measure angles in degrees. However, The other common measurement for angles is radians. For this measurement, consider the unit circle (a circle of radius 1) whose center is the vertex of the angle in question. Then the angle cuts off an arc of the circle, and the length of that arc is the radian measure of the angle. It is easy to convert between degree measurement and radian measurement. The circumference of the entire circle is 2 ( is about 3.14159), so it follows that 360° equals 2 radians. Hence, 1° equals /180 radians, and 1 radian equals 180/ degrees. Most calculators can be set to use angles measured with either degrees or radians. Be sure you know what mode your calculator is using.
To find the arc length given the radius and angle measure in degrees, you must first convert the angle from degrees to radians, using the formula: Degrees = Radians X (pi/180). Then take the radians and the radius that you are given, and put them into the formula of Q = (a/r) where Q is the angle in radians, a is the arc length, and r is the radius. When you have this, simple multiply both sides by the radius to isolate the a. Once you do this, you have your answer.
One way to remember it is: a full circle is 2pi radians, or 360°, so 2pi radians = 360°, and then you multiply degrees by (2pi/360 radians per degree) = pi/180 radians per degree.
In general, you cannot. All that you can say for a polygon with n sides is that the angles sum to (n-2)*pi radians - or (n-2)*180 degrees. This is true for cocave polygons as well as convex ones. For a concave polygon, if you wish to measure a reflex angle using a protractor, measure the outside angle and subtract that from 2*pi radians (360 degrees).
Interior angles using the formula: (24-2)*180 = 3960 degrees Exterior angles: 360 degrees
If two angles have the sum of 180 then they are complimentary angles. If three angles add up to 180 then its a triangle. If 4 angles add up to 180 then the lines would create two triangles or just some zigzagging line. 180 degrees also equals one pie. So, when you get higher up in math you wont be wondering this because you wont be using angles in degrees but mostly only in radians.
Using the formula: (number of sides -2)*180 = sum of interior angles
(2n -4) right angles is how I was taught it, 180n - 360 degrees is just as accurate.
Yes by using the formula: (n-2)*180 = sum of interior angles whereas n is the number of sides of the polygon