Angle calculator
The Angle Calculator allows conversions of the angles entered in degrees, minutes, and seconds to the decimal number, radians back and forth. It is also possible to evaluate simple numerical operations - an addition of angles, subtracting angles, angle normalization to interval <0,360°> or <-180°,180°>, etc. Degrees (°), minutes ('), seconds (") to decimal degrees angle converter and back. Enter the angle in degrees, minutes, and seconds, and press the Convert button. Angle units - do not mix with time seconds, minutes, or temperature degrees Celsius or °F.Result:
3*360 = 1080° = 18.84956 rad = 6 π rad = 1200 grad = 3 turns
Normalized angle at a interval <0; 360> :
3*360 = 0° = 0 rad = 0 π rad = 0 grad = 0 turns
Basic knowledge of angle units
The basic definition is that the full angle is 1 rotation (one turn) = 360° (degrees) = 2π radians = 400 grads (gons). One degree is 60 minutes and one angle minute is 60 seconds.see Plane angle - wiki
Practice problems:
60°15'45" pi/2 55.5 5 min + 16 min 3/2 pi 60° + 45" -12' pi/2 + 60° 5 rad + 45°50' 3 * 12pi pi/2 - pi/3 -pi/2 3*360 60°15'45" - 15'
Angle word problems:
- Angles 1
Is it true that adjacent angles have common arm?
- 140 degrees
Calculate the product of an angle of 140 degrees with the number 3.
- Triangle - angles
ABC triangle, alpha = 54 degrees 32 minutes, beta = 79 degrees. What are the sizes of the exterior angles?
- Neighbor angle
For 136° angle, calculate the size of the adjacent angle on one side of a straight line.
- Parallelogram 83558
In a parallelogram, ABCD, the angle at vertex B is 108°. What is the angle size at the vertex D?
- Angle
Draw angle |∠ ABC| = 30° and build its axis. What angle is between the axis angle and arm of angle?
- Circular sector
I have a circular sector with a length of 15 cm with an unknown central angle. It is created from a circle with a radius of 5 cm. What is the central angle alpha in the circular sector?
- Straight lines
Draw two lines c, d so that c || d. On line c, mark points A, and B, from point A starts perpendicular to line c, from point B perpendicular to line c.
- Parallelogram
In the parallelogram, we know one internal angle of 67°33`. Calculate the other internal angles.
- Difference 2435
Calculate the sum and difference of the alpha and beta angles. Alpha = 60 ° 30 ', beta = 29 ° 35'.
- Calculate: 3230
Calculate: 127 ° 37 '- 58 ° 48'
- Calculate 4425
In the triangle ABC with the center of gravity T, b = 7cm, median to c: tc = 9cm, the ATC angle is 112 degrees. Calculate the length of the line ta.
- Supplementary angles 4
Angle A and angle B are supplementary. The measure of angle B is 82.5. What is the measure of angle A in degrees? Enter your answer as a decimal, if necessary, like this: 42.5
- Hypotenuse - construct problem
A line segment AA1 of length 6 cm is given. Construct all triangles ABC for which AA1 is the hypotenuse, side length BC is 5 cm, and angle gamma is 60°.
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