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:
60°15'45" - 15' = 60.0125° = 60°45″ = 1.04742 rad = 4801/80 π rad = 66.68056 grad = 0.1667 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?
- Parallelogram 83558
In a parallelogram, ABCD, the angle at vertex B is 108°. What is the angle size at the vertex D?
- Neighbor angle
For 136° angle, calculate the size of the adjacent angle on one side of a straight line.
- 140 degrees
Calculate the product of an angle of 140 degrees with the number 3.
- 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?
- Degrees Fahrenheit
What is the current temperature if the temperature is 12 degrees Fahrenheit and changes by -26 degrees Fahrenheit?
- Know one angle
In a right-angled triangle, the measure of an angle is 40°. Find the measure of other angles of the triangle in degrees.
- Diagonals
Construct a rhombus whose diagonals have lengths of 10cm and 8cm and make an angle of 115°.
- Triangle 16953
In the ABC triangle, the alpha angle is 36 degrees. The beta angle is twice the gamma. What is this triangle?
- Construct 61354
Construct an ABCD diamond with side a = 4.8cm, and the angle at vertex B is 60 °
- O'clock 78004
What is the degree angle made by the hands of a clock when it points to 8 o'clock?
- 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°.
- 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)
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