Question

the area of a sector is 1/5 of the area of the circle containg it .find the sector angle​

Answer 1

HOLA......{∆}

THERE IS YOUR ANSWER.....{¶}

$we \: know \: that \: area \: of \: a \\ sector \: is \: given \: as.... \\ \\ \frac{\pi {r}^{2} \alpha }{360} \\ \\ where \: \alpha \: is \: the \: angle \: of \: \\ the \: sector.. \\ \\ where \: as \: area \: of \: the \: circle \: is \ \\ : given \: as.... \\ \\ \pi {r}^{2} \\ \\ and \: r \: is \: the \: radius \: of \: the \: circle \\ \\ acc. \: to \: your \: question \\ \\ \frac{\pi {r}^{2} \alpha }{360} = \frac{1}{5} \pi {r}^{2} \\ \\ from \: here \: we \: get \\ \\ \alpha = 72$

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