Convert 40^{circ} 20^{prime} into radian meas | vedclass

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Question

(A) We know that $180^{\circ} = \pi 	ext{ radians}$.First,convert $40^{\circ} 20^{\prime}$ into degrees:$20^{\prime} = (\frac{20}{60})^{\circ} = (\fr

Vedclass · Accepted Answer

$\frac{121 \pi}{540}$

Vedclass · Answer

(A) We know that $180^{\circ} = \pi 	ext{ radians}$.First,convert $40^{\circ} 20^{\prime}$ into degrees:$20^{\prime} = (\frac{20}{60})^{\circ} = (\frac{1}{3})^{\circ}$.So,$40^{\circ} 20^{\prime} = (40 + \frac{1}{3})^{\circ} = (\frac{120+1}{3})^{\circ} = (\frac{121}{3})^{\circ}$.Now,convert degrees to radians by multiplying by $\frac{\pi}{180}$:$	ext{Radian measure} = (\frac{121}{3}) 	imes \frac{\pi}{180} = \frac{121 \pi}{540} 	ext{ radians}$.Therefore,$40^{\circ} 20^{\prime} = \frac{121 \pi}{540} 	ext{ radians}$.

Convert $40^{\circ} 20^{\prime}$ into radian measure.

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