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°15'45" = 60.2625° = 60°15'45″ = 1.05178 rad = 4821/80 π rad = 66.95833 grad = 0.1674 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.
- 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.
- 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.
- Supplementary angles 4
Angle A and angle B are supplementary. The measure of angle B is 82.5. What is the measure of angle A in degrees? Enter your answer as a decimal, if necessary, like this: 42.5
- 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°.
- Interior angles 4
How many degrees are in the sum of the interior angles of a quadrilateral?
- Diagonals
Construct a rhombus whose diagonals have lengths of 10cm and 8cm and make an angle of 115°.
- 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?
- 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)
- Degrees to radians
Convert magnitude of the angle α = 538°38'17" to radians:
- Straight and right
What is the arithmetic mean of straight and right angles?
- 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
more math problems »