Convert the following angles into radians : 65^ 30′ - Vidyadip

Question

Convert the following angles into radians $: 65^\circ 30′$

✓

Answer

$65^{\circ} 30^{\circ}=65^{\circ}+30^{\prime}$
$=65^{\circ}+\left(\frac{30}{60}\right)^{\circ} \ldots\left[1^{\prime}=(1 / 60)^{\circ}\right]$
$=65^{\circ}+(1 / 2)^{\circ}$
$=\left(65+\frac{1}{2}\right)^{\circ}$
$=\left(\frac{131}{2}\right)^{\circ}$
$=\left(\frac{131}{2} \times \frac{\pi}{180}\right)^\circ$
$=\left(\frac{131 \pi}{360}\right)^\circ$

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