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:
55.5 = 55.5° = 55°30' = 0.96866 rad = 111/2 π rad = 61.66667 grad = 0.15417 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: - Obtuse angle
Which obtuse angle is creating clocks at 17:00? - Neighbor angle
For 136° angle, calculate the size of the adjacent angle on one side of a straight line. - O'clock 78004
What is the degree angle made by the hands of a clock when it points to 8 o'clock? - Degrees to radians
Convert magnitude of the angle α = 502°47'25" to radians: - 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 temperature 5
The temperature at 4 pm was 53°Fahrenheit. The temperature dropped 3° each hour from 4 pm to 9 pm. Which equation below accurately represents the temperature at 9 pm? . - Euclid2
The ABC right triangle with a right angle at C is side a=29 and height v=17. Calculate the perimeter of the triangle. - 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? - In triangle
In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC. - Know one angle
In a right-angled triangle, the measure of an angle is 40°. Find the measure of other angles of the triangle in degrees. - The sum 11
The sum of the measures of the two angles is 89°. One angle has a measure of 64°. What is the measure in degrees of the second angle? - Triangle ABC
In a triangle ABC with the side BC of length 2 cm. Point K is the middle point of AB. Points L and M split the AC side into three equal lines. KLM is an isosceles triangle with a right angle at point K. Determine the lengths of the sides AB, AC triangle A - Third interior angle
Find the third interior angle of the triangle ABC where: α = 48°, γ = 65°.
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