Convert between degrees and radians when needed (SAT). | Circles | SAT Math

Degrees and radians are just two ways to write the same angle. Convert with the standard pi-based factor in the direction the question asks for.

$180 ° = 𝜋$ radians. To convert degrees to radians, multiply by $𝜋 180$ . To convert radians to degrees, multiply by $180 𝜋$ .

Rule: Degrees and radians are the same angle measure written in different units.

Memorize the common benchmarks: $30 \circ, 45 \circ, 60 \circ, 90 \circ$ .

Multiplying by $180 𝜋$ when converting from degrees to radians (that's the wrong direction).
Leaving $𝜋$ out of radian answers — radians must include $𝜋$ unless fully evaluated.
Confusing $𝜋 6 (30$ °) with $𝜋 3 (60$ °).

Question

What is $5 𝜋 6$ radians expressed in degrees?

Select an answer to see the explanation