Angle calculator - result
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:
-pi/2 = -90° = -1.5708 rad = -1/2 π rad = -100 grad = -0.25 turns
Normalized angle at interval <0; 360) :
-pi/2 = 270° = 4.71239 rad = 3/2 π rad = 300 grad = 0.75 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? - Reference angle
Find the reference angle of each angle: - Obtuse angle
Which obtuse angle is creating clocks at 17:00? - Neighbor angle
For 136° angle, calculate the size of the adjacent angle on one side of a straight line. - O'clock 78004
What is the degree angle made by the hands of a clock when it points to 8 o'clock? - Degrees to radians
Convert magnitude of the angle α = 502°47'25" to radians: - Similarity coefficient
The triangles ABC and A'B'C' are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A'B'C'. - Degrees Fahrenheit
What is the current temperature if the temperature is 12 degrees Fahrenheit and changes by -26 degrees Fahrenheit? - Isosceles 64774
The figure shows an isosceles trapezoid CDEF. The size of the angle α is 73 degrees. Calculate the magnitude of the angle β in degrees. - The present
The present temperature is 32°. After some time, it will be increased by + 5° What will be the temperature then? - Rhombus angles
If one angle in the rhombus is 137.6°, what is its neighboring angle in the rhombus? - 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 temperature 5
The temperature at 4 pm was 53°Fahrenheit. The temperature dropped 3° each hour from 4 pm to 9 pm. Which equation below accurately represents the temperature at 9 pm? . - 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? - In triangle
In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC.
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