Question

Use complete sentences to explain the steps required in converting 180o to its equivalent radian measure. Include your calculations in your final answer.

Answer 1

1 radian

Explanation:

Conversion formula: R = degree measure/180 pi

180/180 pi = 1pi

Since 180 degrees is equal to 1 radian, this makes sense.

Answer 2

See below.

Explanation:

To convert an angle in degrees to radians, follow the steps below:

1. Identify the measurement in degrees of the angle to convert. Ex. 180°
2. Multiply 180° by the fraction π/ 180.
3. Simplify the numerator and denominator by reducing using common factors. 180π/180 = π
4. State your answer. The angle 180° is π radians.