Why don't we put the value of π as 180° in the formula for radian, i.e., 1radian=180°÷π?
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Step-by-step explanation:
Think of it as solving proportions. We have
π radians=180∘
and you want to convert
r radians = d∘.
Hence you get
πr =180 d
which simplifies to
r = π 180 dor equivalently d=180πr.
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