Digital SATMath: Geometry and TrigonometryEasy
A surveyor is measuring a plot of land. They record an angle of 3π/4 radians. To report this angle to a client who is unfamiliar with radians, what is the equivalent measure in degrees?
- A270°
- B135°
- C150°
- D225°
Show answer & explanationAnswer & explanation
Correct answer: B. 135°
To convert radians to degrees, multiply the radian measure by the conversion factor 180°/π.
Why the other options are wrong
- A. Incorrect. This would be 3π/2 radians.
- C. Incorrect. This would be 5π/6 radians.
- D. Incorrect. This would be 5π/4 radians.
Radians to Degrees Conversion
To convert an angle from radians to degrees, multiply the radian value by the conversion factor 180°/π.
- π radians is equivalent to 180 degrees.
- Radians are often used in advanced mathematics and physics.
- Degrees are more commonly used in everyday applications and geometry.
Memory trick: Radians to degrees, multiply by 180 over pi!