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? - Reference angle
Find the reference angle of each angle: - Neighbor angle
For 136° angle, calculate the size of the adjacent angle on one side of a straight line. - Obtuse angle
Which obtuse angle is creating clocks at 17:00?
- Degrees to radians
Convert magnitude of the angle α = 502°47'25" to radians: - O'clock 78004
What is the degree angle made by the hands of a clock when it points to 8 o'clock? - 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? - 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 - 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)
- The present
The present temperature is 32°. After some time, it will be increased by + 5° What will be the temperature then? - Angles
Which of those angles is obtuse? - One angle
One angle is 10 degrees more than four times the measure of the other angle. Together they have a sum of 120 degrees. What is the measure of each angle? - Third interior angle
Find the third interior angle of the triangle ABC where: α = 48°, γ = 65°. - Transform 4
Transform to a positive angle in standard position: 24° west of north
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