Grade 12 · Math

Convert degrees to exact radians

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Convert 90° to radians. Give an exact answer.

  1. π rad
  2. π/4 rad
  3. 5π/2 rad
  4. π/2 rad
See the answer & why

π/2 rad

A half turn is 180° or π radians. Multiply 90 by π/180 to get π/2 rad.

A little hint: Multiply a degree measurement by π/180; simplify the numeric fraction.

Use the equivalence 180° = π radians, which represents a half turn.

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