How many radians is 40°? Give the exact answer in simplest form. radians

Question

asked Apr 26, 2021 207k views

1 Answer

Vitalijs · Answer 1 · 2021-05-03T04:27:27+0000

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$(D)/(180°) = ( Rad )/(\pi) \\$

$D = the \: \: measure \: \: of \: \: angle \: \: in \: \: degree \\$

$Rad= the \: \: measure \: \: of \: \: angle \: \: in \: \: radian \\$

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$(40)/(180) = ( Rad )/(\pi) \\$

$( Rad )/(\pi) = (4)/(18) \\$

$(Rad)/(\pi) = (2)/(9) \\$

Multiply sides by π

$\pi * (Rad)/(\pi) = \pi * (2)/(9) \\$

$Rad = (2)/(9) \pi \\$

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