A 60-degree angle is what in radians?

A 60-degree angle is what in radians?

• A. π/2
• B. π/6
• C. π/3
• D. π

Answer: (C)

Radians measure angles by the fraction of a full circle. A full circle is 2π radians and 360 degrees, so 60 degrees is one-sixth of the circle. One-sixth of 2π is 2π/6 = π/3. Equivalently, 60 × π/180 = π/3. So 60 degrees equals π/3 radians (about 1.047).

Radians measure angles by the fraction of a full circle. A full circle is 2π radians and 360 degrees, so 60 degrees is one-sixth of the circle. One-sixth of 2π is 2π/6 = π/3. Equivalently, 60 × π/180 = π/3. So 60 degrees equals π/3 radians (about 1.047).