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:
60° + 45" -12' = 59.8125° = 59°48'45″ = 1.04393 rad = 957/16 π rad = 66.45833 grad = 0.16615 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 101° angle, calculate the size of the adjacent angle on one side of a straight line. - Parallelogram Angles
In a parallelogram, ABCD, the angle at vertex B is 108°. What is the angle size at the vertex D? - Angle
Draw angle |∠ ABC| = 30° and build its axis. What angle is between the axis angle and arm of angle? - Obtuse angle
Which obtuse angle is creating clocks at 17:00? - On Sunday
On Sunday, the temperature reached a high of 38° above 0. That night it dropped to 23° below 0. What is the difference between the high and low temperatures for Sunday? - The triangles
The triangles ABC and A'B'C 'are similar, with a similarity coefficient of 2. The angles of the triangle ABC are alpha = 35° and beta = 48°. Determine the magnitudes of all angles of triangle A'B'C '. - Supplementary angles
(a + 30)° and (2a)° are the measure of two supplementary angles. Find the value of a. - Transform 4
Transform to a positive angle in standard position: 24° west of north - Rhombus angles
If one angle in the rhombus is 137.6°, what is its neighboring angle in the rhombus? - Triangle line
In the triangle ABC with the center of gravity T, b = 7cm, median to c: tc = 9cm, the ATC angle is 112 degrees. Calculate the length of the line ta. - 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) - 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°.
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