Answer :
To convert an angle from degrees to radians, we use the conversion factor that π radians equal 180 degrees.
Here is the step-by-step process:
1. Know the conversion factor:
- 180 degrees = π radians
2. Set up the proportion to convert degrees to radians:
- θ degrees (π radians / 180 degrees)
3. Insert the given angle in degrees (90° in this case) into the formula:
- 90° (π radians / 180 degrees)
4. Perform the multiplication and division:
- Start by simplifying the fraction: 90/180 reduces to 1/2.
- So, we now have: 1/2 * π
5. Multiply the fraction by π:
- This results in π/2.
Therefore, the radian measure that corresponds to a 90° angle is π/2.
To provide a precise numerical value, π/2 approximately equals 1.5707963267948966.
So, the radian measure that corresponds to a 90° angle is approximately 1.5707963267948966 radians.
Here is the step-by-step process:
1. Know the conversion factor:
- 180 degrees = π radians
2. Set up the proportion to convert degrees to radians:
- θ degrees (π radians / 180 degrees)
3. Insert the given angle in degrees (90° in this case) into the formula:
- 90° (π radians / 180 degrees)
4. Perform the multiplication and division:
- Start by simplifying the fraction: 90/180 reduces to 1/2.
- So, we now have: 1/2 * π
5. Multiply the fraction by π:
- This results in π/2.
Therefore, the radian measure that corresponds to a 90° angle is π/2.
To provide a precise numerical value, π/2 approximately equals 1.5707963267948966.
So, the radian measure that corresponds to a 90° angle is approximately 1.5707963267948966 radians.
