Radian

Radian
Sistem satuan	Satuan turunan SI
Besaran	Sudut
Simbol	rad, ^c or r
Konversi
1 rad dalam ...	... sama dengan ...

miliradian	1.000 miliradian
derajat	180 $π$ ≈ 57,296°

Radian adalah satuan sudut dalam bidang yang dilambangkan dengan "rad". Satuan sudut ini pernah masuk dalam kategori satuan tambahan SI yang kemudian kategori ini tidak lagi sejak tahun 1995 dan saat ini radian dianggap sebagai satuan turunan dalam SI.

Definisi

Satu radian atau 1 rad adalah besarnya sudut yang dibentuk oleh dua buah jari-jari lingkaran berjari-jari "X satuan panjang dan juga membentuk busur sepanjang X satuan panjang". Misal 10 cm, 30 cm, 50 cm, maka begitupun panjang busurnya 10 cm, 30 cm atau 50 cm. Atau dalam gambar di samping r = b = 50 centimeter.

Panjang busur suatu lingkaran dapat dihitung langsung dengan mengalikan besarnya sudut dengan jari-jari lingkaran, apabila besarnya sudut telah dalam satuan radian.

**Ilustrasi ukuran sudut**
Panjang busur $L\!$ (m)	Sudut $\theta \!$ (rad)
$R\!$	$1\!$
${\frac {1}{4}}{\hbox{O}}$	${\frac {\pi }{2}}$
${\frac {1}{2}}{\hbox{O}}$	$\pi \!$
${\frac {3}{4}}{\hbox{O}}$	${\frac {3\pi }{2}}$
${\hbox{O}}\!$	$2\pi \!$
$\theta R\!$	$\theta \!$

{\hbox{O}}\!

dibaca lingkaran.

Radian dengan Derajat

$x\,{\mbox{radian}}={\frac {180x}{\pi }}\,{\mbox{derajat}}$

$x\,{\mbox{derajat}}={\frac {\pi x}{180}}\,{\mbox{radian}}$

Artikel bertopik pengukuran, satuan, dan standar ini adalah sebuah rintisan. Anda dapat membantu Wikipedia dengan mengembangkannya.

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