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Application of relation between arc of length and central angle?
The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
What is the measure of the central angle of a circle with the arc length of 29.21 and the circumference of 40.44?
arc length/circumference = central angle/2*pi (radians) So, central angle = 2*pi*arc length/circumference = 4.54 radians. Or, since 2*pi radians = 360 degrees, central angle = 360*arc length/circumference = 260.0 degrees, approx.
Is tangent ever undefined?
Yes. the tangents of odd multiples of pi/2 radians are not defined.
What is one full revolution in radians?
One full revolution is equal to (2\pi) radians. This is because a full circle has an angle of 360 degrees, and since (360) degrees is equivalent to (2\pi) radians, we use this relationship to define a complete rotation in terms of radians.
Deg per sec to rad per sec?
If you are asking for the conversion formulas, then think of the relationship between degress and radians. 360 degress = 2*pi radians, thus to convert every degree to radians, we divide both sides of the equation by 360. 1 degree = 2*pi/360 radians = pi/180 radians. thus to convert degrees into radians, just multiply the number of degrees to pi/180, where pi = 3.141592... by the way, the per sec appended on the unit does not matter in the conversion since both units are in per sec anyway
Application of relation between arc of length and central angle?
The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
What is principle sine function?
It is sine defined between -pi/2 and + pi/2 radians (-90 deg and +90 deg) and its inverse is defined over this range.
What is the relationship between angular measurements in radians and degrees in physics?
In physics, angular measurements can be expressed in both radians and degrees. Radians are the preferred unit for angular measurements because they directly relate to the arc length of a circle's circumference. One radian is equal to the angle subtended by an arc that is equal in length to the radius of the circle. In contrast, degrees are based on dividing a circle into 360 equal parts. The relationship between radians and degrees is that 1 radian is equal to approximately 57.3 degrees.
What does a zero with a horizontal line through it mean?
It means a central angle measured in radians. ex. Convert 360 degrees radians. 180 degrees = pi radians so 360 degrees = pi radians/180 degrees = 360pi radians/180 = 2 pi radians
A central angle of a circle of radius 30 cm intercepts an arc of 6 cm Express the central angle in radians and in degrees?
A central angle is measured by its intercepted arc. Let's denote the length of the intercepted arc with s, and the length of the radius r. So, s = 6 cm and r = 30 cm. When a central angle intercepts an arc whose length measure equals the length measure of the radius of the circle, this central angle has a measure 1 radian. To find the angle in our problem we use the following relationship: measure of an angle in radians = (length of the intercepted arc)/(length of the radius) measure of our angle = s/r = 6/30 = 1/5 radians. Now, we need to convert this measure angle in radians to degrees. Since pi radians = 180 degrees, then 1 radians = 180/pi degrees, so: 1/5 radians = (1/5)(180/pi) degrees = 36/pi degrees, or approximate to 11.5 degrees.
What is the conversion factor between degrees and radians in physics?
The conversion factor between degrees and radians in physics is /180.
What is the measure of the central angle of a circle with the arc length of 29.21 and the circumference of 40.44?
arc length/circumference = central angle/2*pi (radians) So, central angle = 2*pi*arc length/circumference = 4.54 radians. Or, since 2*pi radians = 360 degrees, central angle = 360*arc length/circumference = 260.0 degrees, approx.
What is the relationship between frequency measured in Hz and angle measured in radians?
Frequency measured in Hz is related to angle measured in radians through the formula: angular frequency = 2π * frequency. This formula signifies the number of complete cycles a wave undergoes in one second. In essence, one cycle in radians corresponds to 2π radians.
What is the relationship between radian and degrees?
simple: consider a circle. A circle is a point rotated through 360o. This rotation is also referred to as a rotation through 2Pi radians. Therefore we can make the following statements about the two forms of angular measurement 2 Pi radians = 360o 2 radians = 360o/Pi; 1 radian = 180o/Pi 1o = Pi radians/180
What is the relationship between the unit of nanometers and radians in the context of measuring angles or distances?
In the context of measuring angles or distances, nanometers and radians are not directly related units. Nanometers are used to measure very small distances, while radians are used to measure angles. They are different units that serve different purposes in the field of measurement.
Is tangent ever undefined?
Yes. the tangents of odd multiples of pi/2 radians are not defined.
Deg per sec to rad per sec?
If you are asking for the conversion formulas, then think of the relationship between degress and radians. 360 degress = 2*pi radians, thus to convert every degree to radians, we divide both sides of the equation by 360. 1 degree = 2*pi/360 radians = pi/180 radians. thus to convert degrees into radians, just multiply the number of degrees to pi/180, where pi = 3.141592... by the way, the per sec appended on the unit does not matter in the conversion since both units are in per sec anyway
