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 a 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?
- 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?
- Triangle - angles
ABC triangle, alpha = 54 degrees 32 minutes, beta = 79 degrees. What are the sizes of the exterior angles?
- Calculate 29401
Calculate the product of an angle of 140 degrees with the number 3
- Diagonal
Can a rhombus have the same length, diagonal, and side?
- Obtuse angle
Which obtuse angle is creating clocks at 17:00?
- 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?
- Calculate 6687
Calculate the sizes of the remaining inner and outer angles. Alpha with comma α '= 140 ° and beta with comma β' = 100 °.
- The present
The present temperature is 32°. After some time, it will be increased by + 5° What will be the temperature then?
- Right-angled 3511
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles.
- Supplementary angles
(a + 30)° and (2a)° are the measure of two supplementary angles. Find the value of a.
- Construct 61354
Construct an ABCD diamond with side a = 4.8cm, and the angle at vertex B is 60 °
- 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.
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