In a circle with radius $50\, cm$, the area of the sector formed by a $20 \,cm$ long arc is $\ldots \ldots \ldots cm ^{2}$

  • A

    $1000$

  • B

    $500$

  • C

    $250$

  • D

    $750$

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 Part $I$  Part $II$
$1.$ $\overline{ OA } \cup \overline{ OB } \cup \widehat{ APB }$  $a.$ Major sector
$2.$ $\overline{ AB } \cup \widehat{ AQB }$ $b.$ Minor segment
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The area of a sector formed by a $12\,cm$ long arc in a circle with radius $12\,cm$ is $\ldots \ldots \ldots . . cm ^{2}$.