Converting from Octant to Radian

What is Octant (octant)

An octant is a unit of angle measurement that divides a circle into 8 equal parts, each of which is equivalent to 4π​ radians. This means that one octant is equal to approximately 0.7853982 radians.

What is Radian (rad)

Radian is the standard unit of angular measurement in the International System of Units (SI). One radian is equal to the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. In terms of octants, one radian is approximately equal to 1.27324 octants.

Conversion Formulas

When converting from octants to radians, you can use the formula:

Radians=Octants×0.7853982

And when converting from radians to octants, the formula to use is:

Octants=Radians×1.27324

Examples

• Example 1: Converting 16 octants to radians:

16 octants×0.7853982=12.56637 radians

• Example 2: Converting 5 radians to octants:

5 radians×1.27324=6.366198 octants

• Example 3: Converting 4 octants to radians:

4 octants×0.7853982=3.141593 radians

• Example 4: Converting 16 radians to octants:

16 radians×1.27324=20.37183 octants

By using the conversion formulas provided, you can easily convert between octants and radians for your angle measurements.