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This trigonometry math tutorial from NutshellMath offers homework help in finding the arc length of an arc created by an angle when given the angle measure and the radius. Arc length is the measurement in units of length of a curved fraction of a circle marked out by an angle.
When solving problems involving finding an arc length, first write out given information. While it is possible to solve for an arc length using an angle measurement in degrees, it is more direct to use a radian angle measure. Radian measurement is based directly upon the relationship arc length, angles and radius, as opposed to an arbitrary fraction of the whole, in the case of degrees. Thus when given a measurement in degrees, it is best to convert it to radian measurement by multiplying by pi and dividing by 180. Once the angle measure in radians and the radius are known, it is possible to solve for the arc length. The angle measurement will be equal to the quotient of the arc length and the radius. Plugging in known values allows the arc length to be solved for algebraically, as the product of the angle measurement and the radius. This simple relationship is very power for geometric measurements involving circles and arcs.
The examples in this tutorial will reinforce using this relationship to find the arc length when given the radius and an angle measurement.
This trigonometry math tutorial from NutshellMath offers homework help in finding the arc length of an arc created by an angle when given the angle measure and the radius. Arc length is the measurement in units of length of a curved fraction of a circle marked out by an angle.
When solving problems involving finding an arc length, first write out given information. While it is possible to solve for an arc length using an angle measurement in degrees, it is more direct to use a radian angle measure. Radian measurement is based directly upon the relationship arc length, angles and radius, as opposed to an arbitrary fraction of the whole, in the case of degrees. Thus when given a measurement in degrees, it is best to convert it to radian measurement by multiplying by pi and dividing by 180. Once the angle measure in radians and the radius are known, it is possible to solve for the arc length. The angle measurement will be equal to the quotient of the arc length and the radius. Plugging in known values allows the arc length to be solved for algebraically, as the product of the angle measurement and the radius. This simple relationship is very power for geometric measurements involving circles and arcs.
The examples in this tutorial will reinforce using this relationship to find the arc length when given the radius and an angle measurement.