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:
pi/2 - pi/3 = 30° = 0.5236 rad = 1/6 π rad = 33.33333 grad = 0.08333 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?
- 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.
- Diamond-air 27221
Find the cut-off angle for the diamond-air pair. n_d = 2.42 α_m =? The absolute refractive index of light for air n = 1
- Approximation of tangent fx
What is the nontrigonometric formula (not a polynomial fit) for the growth curve that solves algebraically for the increase between tan(1 degree) and tan(2 degrees) continuing up to the tangent(45 degrees)? Okay, to use pi Check calculation for 12°.
- 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? .
- Transform 4
Transform to a positive angle in standard position: 24° west of north
- 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?
- O'clock 78004
What is the degree angle made by the hands of a clock when it points to 8 o'clock?
- 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?
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