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?
- Parallelogram 83558
In a parallelogram, ABCD, the angle at vertex B is 108°. What is the angle size at the vertex D?
- 140 degrees
Calculate the product of an angle of 140 degrees with the number 3.
- Neighbor angle
For 101° angle, calculate the size of the adjacent angle on one side of a straight line.
- Triangle - angles
ABC triangle, alpha = 54 degrees 32 minutes, beta = 79 degrees. What are the sizes of the exterior angles?
- Diagonal
Can a rhombus have the same length, diagonal, and side?
- Obtuse angle
Which obtuse angle is creating clocks at 17:00?
- Supplementary angles
(a + 30)° and (2a)° are the measure of two supplementary angles. Find the value of a.
- Third angle
What is the third angle of a triangle if the first two angles have sizes 50° and 60°?
- 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°.
- Two vertically
Two vertically opposite angles are (x-20)° and 85°; then, find the value of x.
- 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.
- Interior angles 4
How many degrees are in the sum of the interior angles of a quadrilateral?
- Difference 2435
Calculate the sum and difference of the alpha and beta angles. Alpha = 60 ° 30 ', beta = 29 ° 35'.
- Rectangle 3173
Build a rectangle of MNPO if: a) (MN) = 8cm, (MP) = 10cm b) (PQ) = 6cm and angle PQM = 30 ° c) (NP) = 9cm, (PM) 8cm
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