![]() ![]() What is a radian A radian is a unit of measurement for angles. The general formula to convert radian into the degree is to simply multiply the given number of degrees by 180°/. To convert radians to degrees, multiply the radian value by 180/. One degree is equal to 0.01745329252 radians. A complete circle is divided into 360 degrees. Convert each of the following angles in radians to degrees. The degree is a measurement unit of angles. So, the formula is given by, Angle in radian x 180/ Angle in degrees. So in the below diagram, the shaded area is equal to ½ r² ∅. To convert radians to degrees, multiply the radian by 180/. The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle. The length of an arc of a circle is equal to ∅, where ∅ is the angle, in radians, subtended by the arc at the centre of the circle (see below diagram if you don’t understand). To convert a certain number of radians into degrees, multiply the number of radians by 180/ PI. If you need to, you can adjust the column widths to see all the data. Therefore to convert a certain number of degrees in to radians, multiply the number of degrees by PI /180 (for example, 90º = 90 × PI /180 radians = PI /2). For formulas to show results, select them, press F2, and then press Enter. Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. Divide the above equation by, 1 radian 180°/ 1 radian 57.296° Hence, 1 radian to degrees measures 57. The angle in radians that you want to convert. So one radian = 180/ PI degrees and one degree = PI /180 radians. This article describes the formula syntax and usage of the DEGREES function in Microsoft Excel. This means that in any circle, there are 2 PI radians. So the circumference of a circle is 2 PI larger than its radius. Now, the circumference of the circle is 2 PI r, where r is the radius of the circle.
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