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:
3/2 pi = 270° = 4.71239 rad = 3/2 π rad = 300 grad = 0.75 turns
Normalized angle at a interval (-180; 180> :
3/2 pi = -90° = -1.5708 rad = -1/2 π rad = -100 grad = -0.25 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?
- 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?
- Calculate 29401
Calculate the product of an angle of 140 degrees with the number 3
- Resistance 46111
A metal ring with a radius of 10 cm is placed in a magnetic field so that the normal to its surface makes an angle of 60° with the induction lines. The induction of the magnetic field varies uniformly and drops from 0.45 T to 0.35 T in 0.50 s. Determine t
- Trapezoid 61394
Sestroj trapezoid ABCD, if a = 8cm, b = 5cm, alpha = 60 °, beta = 75 °
- Angle
Draw angle |∠ ABC| = 30° and build its axis. What angle is between the axis angle and arm of angle?
- In triangle 2
In triangle XYZ, if it measures angle X=40° and measures angle Y=75°. Which is the longest side of the triangle, and why?
- 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
- Two vertically
Two vertically opposite angles are (x-20)° and 85°; then, find the value of x.
- Construction
Construct the triangle ABC if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60°, and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction)
- The present
The present temperature is 32°. After some time, it will be increased by + 5° What will be the temperature then?
- Angles
Which of those angles is obtuse?
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