Example: Convert 270 degrees to radians Step 1: Multiply 270 degrees by π/180 (π/180 is the fraction you always use to multiply when converting degrees to radians) Step 2: Make 270 a fraction by putting it over 1: 270/1 Step 3: Then you divide 270 and 180 by 90 which simplifies 270 to 3 and 180 to 2 Step 4: Then you multiply across to get a final answer of 3π/2. Therefore 270 degrees is equal to 3π/2 radians!
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Converting Radians to Degrees
Example: Convert π/6 radians to degrees Step 1: Multiply π/6 radians by 180/π (when converting radians to degrees you multiply the radians by the reciprocal of π/180) Step 2: Since both sides are in fraction form just go straight into simplifying Step 3: To simplify divide 6 and 180 by 6 to get 6 simplified to 1 and 180 simplified to 30 Step 4: Then eventually if you add across the final answer is 30. Therefore π/6 radians is equal to 30 degrees!