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Why multiply degree to pi by 180 to convert it to radian?
A whole circle is 360 degrees or 2*pi radians. 360 degrees = 2*pi radians so that 1 degree = pi/180 radians This gives the conversion factor of pi/180 to convert degrees to radians.
What is the degree measure corresponding to radian measure?
Two equations, solve for x1°= x radians90° = π/2 radians1/90 = x/(π/2)π/2 = 90xx = π/180 ~= 0.01745 radiansTherefore: 1°= π/180 radians ~= 0.01745 radiansor easier to remember: 180° = π radiansSwitching the equation around:1 radian = (180/π)° ~= 57.2958°
What is a degree measure?
It is an old convention where everything is perfect like a circle, and each year have 360 days (for some reason). The ancients decided to make the unit to measure angles using this system, defining the angle of a full rotation is the godly number 360, and then split down. Now, a more useful and intuitive definition is given, called a radian measure. Where the radian measure of a full rotation as the circumference of the UNIT CIRCLE (circle with radius 1), which is 2 pi.
What is a 2 2 degree?
It is an angle whose measure is 1/180th of a turn,
What is the principal system used in measuring angles?
1. Sexagesimal System - degree 2. Circular (Natural) System - radian 3. Mil System - mil 4. Grade System - grade
