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QUESTION

How do you convert -220 degrees to radians without a calculator?

You probably know that ##180°## corresponds to ##pi## radians; You can build the proportion: ##180°:pi=()°:(rad)## Set ##()°=-220°## and solve for ##(rad)##; you'll get: ##(rad)=-220°pi/(180°)=-22°pi/(18°)=-11/9pi##

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