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 + 60° = 150° = 2.61799 rad = 5/6 π rad = 166.66667 grad = 0.41667 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: - O'clock 78004
What is the degree angle made by the hands of a clock when it points to 8 o'clock? - Obtuse angle
Which obtuse angle is creating clocks at 17:00? - Degrees to radians
Convert magnitude of the angle α = 502°47'25" to radians: - Neighbor angle
For 136° angle, calculate the size of the adjacent angle on one side of a straight line. - Slope
Find the slope of the line: x=t and y=1+t. - Trapezoid - RR
Find the area of the right-angled trapezoid ABCD with the right angle at the A vertex; a = 3 dm b = 5 dm c = 6 dm d = 4 dm - One angle
One angle is 10 degrees more than four times the measure of the other angle. Together they have a sum of 120 degrees. What is the measure of each angle? - 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'. - Rhombus angles
If one angle in the rhombus is 137.6°, what is its neighboring angle in the rhombus? - Cis notation
Evaluate multiplication of two complex numbers in cis notation: (6 cis 120°)(4 cis 30°) Write the result in cis and Re-Im notation. - 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?
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