RADIANS

Converts degrees to radians.

Syntax:

RADIANS(degrees)

degrees is the angle in degrees to be converted to radians.

Example:

RADIANS(90)

returns 1.5707963267949, which is PI/2 to Zapof function's accuracy.

Application:

Imagine you are designing a curved running track for a sports stadium. The track has a constant radius, and you need to calculate the exact length of a specific curved section. The design plan gives you the central angle of this section in degrees, but the formula for arc length requires the angle to be in radians.

The formula for arc length (L) is: L=r⋅θ where r is the radius of the circle and θ is the central angle in radians.

Let's say the radius of the track is 50 meters, and you have two curved sections with different central angles. You can use the RADIANS() function to convert the degree measurements to radians before calculating the arc length.

Here is an example using a table:

	Section	Radius (m)	Angle (degrees)	Angle (radians) = RADIANS(Angle)	Arc Length (m) = Radius * Angle (radians)
	A	B	C	D	E
1	Section A	50	60	1.046666667	52.333333333
2	Section B	50	90	1.57	78.5

In this example, the RADIANS() function is applied to the values in the "Angle (degrees)" column to populate the "Angle (radians)" column. These radian values are then used in the arc length formula to determine the precise length of each curved section of the track. This is crucial for accurate construction, material ordering, and event planning.