Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

Het aantal seconden (") dat gelijk is aan 1 radiaal is gelijk aan	A. \(\boldsymbol{\frac {180} {\pi}\cdot 60 }\)
	B. \(\boldsymbol{\frac {180} {\pi}\cdot 3600 }\)
	C. \(\boldsymbol{\frac {18} {\pi\cdot 360} }\)
	D. \(\boldsymbol{\frac {\pi} {18}\cdot 360 }\)
	E. \(\boldsymbol{\frac {\pi} {180}\cdot 60}\)

[ 5-0635 - op net sinds 27.7.12-(E)-30.10.2023 ]

Translation in E N G L I S H

How many seconds are there in one radian ?	A. \(\boldsymbol{\frac {180} {\pi}\cdot 60 }\)
	B. \(\boldsymbol{\frac {180} {\pi}\cdot 3600 }\)
	C. \(\boldsymbol{\frac {18} {\pi\cdot 360} }\)
	D. \(\boldsymbol{\frac {\pi} {18}\cdot 360 }\)
	E. \(\boldsymbol{\frac {\pi} {180}\cdot 60}\)

Oplossing - Solution

$\large \color{DarkGreen} { \pi\: rad=180^{\circ} } \newline \newline \color{DarkGreen} { 1 \: rad=\frac{180^{\circ}}{\pi } =\frac{180\times 60\times 60{}''}{\pi } =\frac{180\times 3600{}''}{\pi } }$

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